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1640320656 = 2431343113541
BaseRepresentation
bin110000111000101…
…0100111010010000
311020022112220220220
41201301110322100
511324410230111
6430433433040
755435331652
oct14161247220
94208486826
101640320656
11771a11207
1239940b780
13201ab2550
14117bcc6d2
1599015e06
hex61c54e90

1640320656 has 160 divisors (see below), whose sum is σ = 4719614592. Its totient is φ = 487710720.

The previous prime is 1640320637. The next prime is 1640320663. The reversal of 1640320656 is 6560230461.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3031746 + ... + 3032286.

Almost surely, 21640320656 is an apocalyptic number.

1640320656 is a gapful number since it is divisible by the number (16) 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 1640320656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359807296).

1640320656 is an abundant number, since it is smaller than the sum of its proper divisors (3079293936).

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

1640320656 is a wasteful number, since it uses less digits than its factorization.

1640320656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1640320656 is about 40500.8722869027. The cubic root of 1640320656 is about 1179.3505609509.

The spelling of 1640320656 in words is "one billion, six hundred forty million, three hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 113 129 156 172 208 226 258 312 339 344 452 516 541 559 624 678 688 904 1032 1082 1118 1356 1469 1623 1677 1808 2064 2164 2236 2712 2938 3246 3354 4328 4407 4472 4859 5424 5876 6492 6708 7033 8656 8814 8944 9718 11752 12984 13416 14066 14577 17628 19436 21099 23263 23504 25968 26832 28132 29154 35256 38872 42198 46526 56264 58308 61133 63167 69789 70512 77744 84396 93052 112528 116616 122266 126334 139578 168792 183399 186104 189501 233232 244532 252668 279156 302419 337584 366798 372208 379002 489064 505336 558312 604838 733596 758004 794729 907257 978128 1010672 1116624 1209676 1467192 1516008 1589458 1814514 2384187 2419352 2628719 2934384 3032016 3178916 3629028 4768374 4838704 5257438 6357832 7258056 7886157 9536748 10514876 12715664 14516112 15772314 19073496 21029752 31544628 34173347 38146992 42059504 63089256 68346694 102520041 126178512 136693388 205040082 273386776 410080164 546773552 820160328 1640320656