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640036416 = 26331191563
BaseRepresentation
bin100110001001100…
…010111001000000
31122121100012220110
4212021202321000
52302322131131
6143302111320
721601135245
oct4611427100
91577305813
10640036416
112a9313918
1215a41b540
13a27a5b96
14610095cc
153b2ca646
hex26262e40

640036416 has 112 divisors (see below), whose sum is σ = 1760329728. Its totient is φ = 205017600.

The previous prime is 640036403. The next prime is 640036483. The reversal of 640036416 is 614630046.

It is a super-2 number, since 2×6400364162 = 819293227612250112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136551 + ... + 1137113.

Almost surely, 2640036416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880164864).

640036416 is an abundant number, since it is smaller than the sum of its proper divisors (1120293312).

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

640036416 is a wasteful number, since it uses less digits than its factorization.

640036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 640036416 is about 25298.9410055046. The cubic root of 640036416 is about 861.7902206806.

The spelling of 640036416 in words is "six hundred forty million, thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 191 192 248 372 382 496 563 573 744 764 992 1126 1146 1488 1528 1689 1984 2252 2292 2976 3056 3378 4504 4584 5921 5952 6112 6756 9008 9168 11842 12224 13512 17453 17763 18016 18336 23684 27024 34906 35526 36032 36672 47368 52359 54048 69812 71052 94736 104718 107533 108096 139624 142104 189472 209436 215066 279248 284208 322599 378944 418872 430132 558496 568416 645198 837744 860264 1116992 1136832 1290396 1675488 1720528 2580792 3333523 3350976 3441056 5161584 6667046 6882112 10000569 10323168 13334092 20001138 20646336 26668184 40002276 53336368 80004552 106672736 160009104 213345472 320018208 640036416