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104898816 = 2832114139
BaseRepresentation
bin1100100000010…
…10000100000000
321022101102010100
412100022010000
5203323230231
614224202400
72412424311
oct620120400
9238342110
10104898816
1154238040
122b169400
131896a509
14dd08608
1593211e6
hex640a100

104898816 has 108 divisors (see below), whose sum is σ = 330024240. Its totient is φ = 31779840.

The previous prime is 104898809. The next prime is 104898817. The reversal of 104898816 is 618898401.

It is a super-2 number, since 2×1048988162 = 22007523196403712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104898817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23275 + ... + 27413.

It is an arithmetic number, because the mean of its divisors is an integer number (3055780).

Almost surely, 2104898816 is an apocalyptic number.

104898816 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 104898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165012120).

104898816 is an abundant number, since it is smaller than the sum of its proper divisors (225125424).

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

104898816 is a wasteful number, since it uses less digits than its factorization.

104898816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 104898816 is about 10242.0123022773. The cubic root of 104898816 is about 471.6178080109.

The spelling of 104898816 in words is "one hundred four million, eight hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4139 4224 6336 8278 8448 12417 12672 16556 24834 25344 33112 37251 45529 49668 66224 74502 91058 99336 132448 136587 149004 182116 198672 264896 273174 298008 364232 397344 409761 529792 546348 596016 728464 794688 819522 1059584 1092696 1192032 1456928 1589376 1639044 2185392 2384064 2913856 3178752 3278088 4370784 4768128 5827712 6556176 8741568 9536256 11655424 13112352 17483136 26224704 34966272 52449408 104898816