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104836896 = 2533711709
BaseRepresentation
bin1100011111110…
…10111100100000
321022021021012000
412033322330200
5203314240041
614223004000
72412045633
oct617727440
9238237160
10104836896
11541a556a
122b139600
1318948288
14dccdc1a
15930cbb6
hex63faf20

104836896 has 96 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 34433280.

The previous prime is 104836891. The next prime is 104836913. The reversal of 104836896 is 698638401.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (104836891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60490 + ... + 62198.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2104836896 is an apocalyptic number.

104836896 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 104836896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

104836896 is an abundant number, since it is smaller than the sum of its proper divisors (205425504).

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

104836896 is a wasteful number, since it uses less digits than its factorization.

104836896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 104836896 is about 10238.9890125930. The cubic root of 104836896 is about 471.5249937365.

The spelling of 104836896 in words is "one hundred four million, eight hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1709 1917 2272 2556 3408 3418 3834 5112 5127 6816 6836 7668 10224 10254 13672 15336 15381 20448 20508 27344 30672 30762 41016 46143 54688 61344 61524 82032 92286 121339 123048 164064 184572 242678 246096 364017 369144 485356 492192 728034 738288 970712 1092051 1456068 1476576 1941424 2184102 2912136 3276153 3882848 4368204 5824272 6552306 8736408 11648544 13104612 17472816 26209224 34945632 52418448 104836896