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1424640 = 2835753
BaseRepresentation
bin101011011110100000000
32200101020110
411123310000
5331042030
650311320
715052320
oct5336400
92611213
101424640
11893398
12588540
133ab5a9
14291280
151d21b0
hex15bd00

1424640 has 144 divisors (see below), whose sum is σ = 5298048. Its totient is φ = 319488.

The previous prime is 1424603. The next prime is 1424659. The reversal of 1424640 is 464241.

1424640 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26854 + ... + 26906.

It is an arithmetic number, because the mean of its divisors is an integer number (36792).

21424640 is an apocalyptic number.

1424640 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 1424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024).

1424640 is an abundant number, since it is smaller than the sum of its proper divisors (3873408).

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

1424640 is an equidigital number, since it uses as much as digits as its factorization.

1424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1424640 is about 1193.5828416997. The cubic root of 1424640 is about 112.5213786532.

Adding to 1424640 its reverse (464241), we get a palindrome (1888881).

The spelling of 1424640 in words is "one million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 53 56 60 64 70 80 84 96 105 106 112 120 128 140 159 160 168 192 210 212 224 240 256 265 280 318 320 336 371 384 420 424 448 480 530 560 636 640 672 742 768 795 840 848 896 960 1060 1113 1120 1272 1280 1344 1484 1590 1680 1696 1792 1855 1920 2120 2226 2240 2544 2688 2968 3180 3360 3392 3710 3840 4240 4452 4480 5088 5376 5565 5936 6360 6720 6784 7420 8480 8904 8960 10176 11130 11872 12720 13440 13568 14840 16960 17808 20352 22260 23744 25440 26880 29680 33920 35616 40704 44520 47488 50880 59360 67840 71232 89040 94976 101760 118720 142464 178080 203520 237440 284928 356160 474880 712320 1424640