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104792064 = 21631341
BaseRepresentation
bin1100011111100…
…00000000000000
321022011222200120
412033300000000
5203311321224
614222020240
72411501136
oct617600000
9238158616
10104792064
1154174913
122b117680
1318930a50
14dcbb756
1592ee779
hex63f0000

104792064 has 136 divisors (see below), whose sum is σ = 308278992. Its totient is φ = 31457280.

The previous prime is 104792033. The next prime is 104792081. The reversal of 104792064 is 460297401.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555884 + ... + 2555924.

Almost surely, 2104792064 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 104792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154139496).

104792064 is an abundant number, since it is smaller than the sum of its proper divisors (203486928).

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

104792064 is an frugal number, since it uses more digits than its factorization.

104792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 104792064 is about 10236.7994998437. The cubic root of 104792064 is about 471.4577705121.

The spelling of 104792064 in words is "one hundred four million, seven hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 312 328 384 416 492 512 533 624 656 768 832 984 1024 1066 1248 1312 1536 1599 1664 1968 2048 2132 2496 2624 3072 3198 3328 3936 4096 4264 4992 5248 6144 6396 6656 7872 8192 8528 9984 10496 12288 12792 13312 15744 16384 17056 19968 20992 24576 25584 26624 31488 32768 34112 39936 41984 49152 51168 53248 62976 65536 68224 79872 83968 98304 102336 106496 125952 136448 159744 167936 196608 204672 212992 251904 272896 319488 335872 409344 425984 503808 545792 638976 671744 818688 851968 1007616 1091584 1277952 1343488 1637376 2015232 2183168 2555904 2686976 3274752 4030464 4366336 6549504 8060928 8732672 13099008 17465344 26198016 34930688 52396032 104792064