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104900976 = 243219231667
BaseRepresentation
bin1100100000010…
…10100101110000
321022101112002100
412100022211300
5203323312401
614224220400
72412433515
oct620124560
9238345070
10104900976
1154239724
122b16a700
131896b4ab
14dd0930c
159321b86
hex640a970

104900976 has 120 divisors (see below), whose sum is σ = 322657920. Its totient is φ = 31667328.

The previous prime is 104900959. The next prime is 104900977. The reversal of 104900976 is 679009401.

It is a super-2 number, since 2×1049009762 = 22008429531505152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104900976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104900977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62095 + ... + 63761.

It is an arithmetic number, because the mean of its divisors is an integer number (2688816).

Almost surely, 2104900976 is an apocalyptic number.

104900976 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 104900976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161328960).

104900976 is an abundant number, since it is smaller than the sum of its proper divisors (217756944).

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

104900976 is a wasteful number, since it uses less digits than its factorization.

104900976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 104900976 is about 10242.1177497625. The cubic root of 104900976 is about 471.6210450588.

The spelling of 104900976 in words is "one hundred four million, nine hundred thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 114 138 144 152 171 184 207 228 276 304 342 368 414 437 456 552 684 828 874 912 1104 1311 1368 1656 1667 1748 2622 2736 3312 3334 3496 3933 5001 5244 6668 6992 7866 10002 10488 13336 15003 15732 20004 20976 26672 30006 31464 31673 38341 40008 60012 62928 63346 76682 80016 95019 115023 120024 126692 153364 190038 230046 240048 253384 285057 306728 345069 380076 460092 506768 570114 613456 690138 728479 760152 920184 1140228 1380276 1456958 1520304 1840368 2185437 2280456 2760552 2913916 4370874 4560912 5521104 5827832 6556311 8741748 11655664 13112622 17483496 26225244 34966992 52450488 104900976