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1424240640 = 2123257727
BaseRepresentation
bin101010011100100…
…0011000000000000
310200020221220212100
41110321003000000
510404101200030
6353154230400
750202563034
oct12471030000
93606856770
101424240640
11670a46089
12338b85400
131990b8154
14d72221c4
1585082360
hex54e43000

1424240640 has 156 divisors (see below), whose sum is σ = 4937403744. Its totient is φ = 379748352.

The previous prime is 1424240633. The next prime is 1424240647. The reversal of 1424240640 is 460424241.

It is a happy number.

1424240640 is a `hidden beast` number, since 14 + 2 + 4 + 2 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1424240633) and next prime (1424240647).

It is a super-2 number, since 2×14242406402 = 4056922801255219200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1424240647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180457 + ... + 188183.

It is an arithmetic number, because the mean of its divisors is an integer number (31650024).

Almost surely, 21424240640 is an apocalyptic number.

1424240640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468701872).

1424240640 is an abundant number, since it is smaller than the sum of its proper divisors (3513163104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1424240640 is an equidigital number, since it uses as much as digits as its factorization.

1424240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1424240640 is about 37739.1128671568. The cubic root of 1424240640 is about 1125.1086354352.

Adding to 1424240640 its reverse (460424241), we get a palindrome (1884664881).

It can be divided in two parts, 1424 and 240640, that added together give a square (242064 = 4922).

The spelling of 1424240640 in words is "one billion, four hundred twenty-four million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 7727 9216 10240 11520 12288 15360 15454 18432 20480 23040 23181 30720 30908 36864 38635 46080 46362 61440 61816 69543 77270 92160 92724 115905 123632 139086 154540 184320 185448 231810 247264 278172 309080 347715 370896 463620 494528 556344 618160 695430 741792 927240 989056 1112688 1236320 1390860 1483584 1854480 1978112 2225376 2472640 2781720 2967168 3708960 3956224 4450752 4945280 5563440 5934336 7417920 7912448 8901504 9890560 11126880 11868672 14835840 15824896 17803008 19781120 22253760 23737344 29671680 31649792 35606016 39562240 44507520 47474688 59343360 71212032 79124480 89015040 94949376 118686720 142424064 158248960 178030080 237373440 284848128 356060160 474746880 712120320 1424240640