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640513896 = 2331117433319
BaseRepresentation
bin100110001011010…
…111011101101000
31122122020110212220
4212023113131220
52302432421041
6143320234040
721605164311
oct4613273550
91578213786
10640513896
112a960a630
1215a60b920
13a2912309
14610d1608
153b371d66
hex262d7768

640513896 has 128 divisors (see below), whose sum is σ = 1893196800. Its totient is φ = 178375680.

The previous prime is 640513891. The next prime is 640513897. The reversal of 640513896 is 698315046.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (640513891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191325 + ... + 194643.

It is an arithmetic number, because the mean of its divisors is an integer number (14790600).

Almost surely, 2640513896 is an apocalyptic number.

640513896 is a gapful number since it is divisible by the number (66) 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 640513896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946598400).

640513896 is an abundant number, since it is smaller than the sum of its proper divisors (1252682904).

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

640513896 is a wasteful number, since it uses less digits than its factorization.

640513896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 640513896 is about 25308.3760047934. The cubic root of 640513896 is about 862.0044716725.

It can be divided in two parts, 6405 and 13896, that added together give a triangular number (20301 = T201).

The spelling of 640513896 in words is "six hundred forty million, five hundred thirteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 43 44 51 66 68 86 88 102 129 132 136 172 187 204 258 264 344 374 408 473 516 561 731 748 946 1032 1122 1419 1462 1496 1892 2193 2244 2838 2924 3319 3784 4386 4488 5676 5848 6638 8041 8772 9957 11352 13276 16082 17544 19914 24123 26552 32164 36509 39828 48246 56423 64328 73018 79656 96492 109527 112846 142717 146036 169269 192984 219054 225692 285434 292072 338538 428151 438108 451384 570868 620653 677076 856302 876216 1141736 1241306 1354152 1569887 1712604 1861959 2426189 2482612 3139774 3425208 3723918 4709661 4852378 4965224 6279548 7278567 7447836 9419322 9704756 12559096 14557134 14895672 18838644 19409512 26688079 29114268 37677288 53376158 58228536 80064237 106752316 160128474 213504632 320256948 640513896