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104856024 = 233713411171
BaseRepresentation
bin1100011111111…
…11100111011000
321022022020102110
412033333213120
5203320343044
614223232320
72412155460
oct617774730
9238266373
10104856024
1154208979
122b1486a0
1318953bb0
14dcd6ba0
1593136b9
hex63ff9d8

104856024 has 128 divisors (see below), whose sum is σ = 330785280. Its totient is φ = 26956800.

The previous prime is 104856023. The next prime is 104856029. The reversal of 104856024 is 420658401.

It is a junction number, because it is equal to n+sod(n) for n = 104855982 and 104856000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104856023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88959 + ... + 90129.

It is an arithmetic number, because the mean of its divisors is an integer number (2584260).

Almost surely, 2104856024 is an apocalyptic number.

104856024 is a gapful number since it is divisible by the number (14) 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 104856024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165392640).

104856024 is an abundant number, since it is smaller than the sum of its proper divisors (225929256).

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

104856024 is a wasteful number, since it uses less digits than its factorization.

104856024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 104856024 is about 10239.9230465858. The cubic root of 104856024 is about 471.5536693330.

The spelling of 104856024 in words is "one hundred four million, eight hundred fifty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 156 164 168 182 246 273 287 312 328 364 492 533 546 574 728 861 984 1066 1092 1148 1171 1599 1722 2132 2184 2296 2342 3198 3444 3513 3731 4264 4684 6396 6888 7026 7462 8197 9368 11193 12792 14052 14924 15223 16394 22386 24591 28104 29848 30446 32788 44772 45669 48011 49182 60892 65576 89544 91338 96022 98364 106561 121784 144033 182676 192044 196728 213122 288066 319683 336077 365352 384088 426244 576132 624143 639366 672154 852488 1008231 1152264 1248286 1278732 1344308 1872429 2016462 2496572 2557464 2688616 3744858 4032924 4369001 4993144 7489716 8065848 8738002 13107003 14979432 17476004 26214006 34952008 52428012 104856024