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640012536 = 233323472741
BaseRepresentation
bin100110001001011…
…101000011111000
31122121022000011000
4212021131003320
52302320400121
6143301405000
721601005522
oct4611350370
91577260130
10640012536
112a92a7989
1215a409760
13a2798057
1461000a12
153b2c3526
hex2625d0f8

640012536 has 128 divisors (see below), whose sum is σ = 1895270400. Its totient is φ = 199647360.

The previous prime is 640012517. The next prime is 640012543. The reversal of 640012536 is 635210046.

640012536 is a `hidden beast` number, since 6 + 400 + 1 + 253 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232126 + ... + 234866.

It is an arithmetic number, because the mean of its divisors is an integer number (14806800).

Almost surely, 2640012536 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 640012536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947635200).

640012536 is an abundant number, since it is smaller than the sum of its proper divisors (1255257864).

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

640012536 is a wasteful number, since it uses less digits than its factorization.

640012536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 640012536 is about 25298.4690445884. The cubic root of 640012536 is about 861.7795026413.

The spelling of 640012536 in words is "six hundred forty million, twelve thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 47 54 69 72 92 94 108 138 141 184 188 207 216 276 282 376 414 423 552 564 621 828 846 1081 1128 1242 1269 1656 1692 2162 2484 2538 2741 3243 3384 4324 4968 5076 5482 6486 8223 8648 9729 10152 10964 12972 16446 19458 21928 24669 25944 29187 32892 38916 49338 58374 63043 65784 74007 77832 98676 116748 126086 128827 148014 189129 197352 233496 252172 257654 296028 378258 386481 504344 515308 567387 592056 756516 772962 1030616 1134774 1159443 1513032 1545924 1702161 2269548 2318886 2963021 3091848 3404322 3478329 4539096 4637772 5926042 6808644 6956658 8889063 9275544 11852084 13617288 13913316 17778126 23704168 26667189 27826632 35556252 53334378 71112504 80001567 106668756 160003134 213337512 320006268 640012536