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104763264 = 2731983173
BaseRepresentation
bin1100011111010…
…00111110000000
321022010112011220
412033220332000
5203304411024
614221235040
72411321154
oct617507600
9238115156
10104763264
1154155211
122b102a80
13189208c8
14dcb1064
1592e5e79
hex63e8f80

104763264 has 128 divisors (see below), whose sum is σ = 298166400. Its totient is φ = 32495616.

The previous prime is 104763247. The next prime is 104763271. The reversal of 104763264 is 462367401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 605482 + ... + 605654.

It is an arithmetic number, because the mean of its divisors is an integer number (2329425).

Almost surely, 2104763264 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 104763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149083200).

104763264 is an abundant number, since it is smaller than the sum of its proper divisors (193403136).

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

104763264 is a wasteful number, since it uses less digits than its factorization.

104763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 104763264 is about 10235.3927135211. The cubic root of 104763264 is about 471.4145763129.

The spelling of 104763264 in words is "one hundred four million, seven hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 83 96 114 128 152 166 173 192 228 249 304 332 346 384 456 498 519 608 664 692 912 996 1038 1216 1328 1384 1577 1824 1992 2076 2432 2656 2768 3154 3287 3648 3984 4152 4731 5312 5536 6308 6574 7296 7968 8304 9462 9861 10624 11072 12616 13148 14359 15936 16608 18924 19722 22144 25232 26296 28718 31872 33216 37848 39444 43077 50464 52592 57436 66432 75696 78888 86154 100928 105184 114872 151392 157776 172308 201856 210368 229744 272821 302784 315552 344616 420736 459488 545642 605568 631104 689232 818463 918976 1091284 1262208 1378464 1636926 1837952 2182568 2756928 3273852 4365136 5513856 6547704 8730272 13095408 17460544 26190816 34921088 52381632 104763264