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1423466240 = 2857792011
BaseRepresentation
bin101010011011000…
…0101111100000000
310200012111120120212
41110312011330000
510403401404430
6353125453252
750163156230
oct12466057400
93605446525
101423466240
11670567289
12338871228
13198ba6821
14d709dcc0
1584e7cb95
hex54d85f00

1423466240 has 144 divisors (see below), whose sum is σ = 3948026880. Its totient is φ = 481628160.

The previous prime is 1423466221. The next prime is 1423466243. The reversal of 1423466240 is 426643241.

It is a super-2 number, since 2×14234662402 = 4052512272839475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1423466197 and 1423466206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423466243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706835 + ... + 708845.

Almost surely, 21423466240 is an apocalyptic number.

1423466240 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 1423466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974013440).

1423466240 is an abundant number, since it is smaller than the sum of its proper divisors (2524560640).

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

1423466240 is an equidigital number, since it uses as much as digits as its factorization.

1423466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 1423466240 is about 37728.8515595161. The cubic root of 1423466240 is about 1124.9046806483.

The spelling of 1423466240 in words is "one billion, four hundred twenty-three million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 256 280 316 320 395 448 553 560 632 640 790 896 1106 1120 1264 1280 1580 1792 2011 2212 2240 2528 2765 3160 4022 4424 4480 5056 5530 6320 8044 8848 8960 10055 10112 11060 12640 14077 16088 17696 20110 20224 22120 25280 28154 32176 35392 40220 44240 50560 56308 64352 70385 70784 80440 88480 101120 112616 128704 140770 141568 158869 160880 176960 225232 257408 281540 317738 321760 353920 450464 514816 563080 635476 643520 707840 794345 900928 1112083 1126160 1270952 1287040 1588690 1801856 2224166 2252320 2541904 2574080 3177380 3603712 4448332 4504640 5083808 5560415 6354760 8896664 9009280 10167616 11120830 12709520 17793328 18018560 20335232 22241660 25419040 35586656 40670464 44483320 50838080 71173312 88966640 101676160 142346624 177933280 203352320 284693248 355866560 711733120 1423466240