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104112684 = 223213269827
BaseRepresentation
bin1100011010010…
…10001000101100
321020220110202100
412031022020230
5203123101214
614155255100
72402641344
oct615121054
9236813670
10104112684
1153850445
122aa4a490
1318753750
14db81d24
159218309
hex634a22c

104112684 has 72 divisors (see below), whose sum is σ = 284815440. Its totient is φ = 31876992.

The previous prime is 104112683. The next prime is 104112691. The reversal of 104112684 is 486211401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104112683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125479 + ... + 126305.

It is an arithmetic number, because the mean of its divisors is an integer number (3955770).

Almost surely, 2104112684 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 104112684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

104112684 is an abundant number, since it is smaller than the sum of its proper divisors (180702756).

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

104112684 is a wasteful number, since it uses less digits than its factorization.

104112684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104112684 is about 10203.5623191119. The cubic root of 104112684 is about 470.4367209811.

The spelling of 104112684 in words is "one hundred four million, one hundred twelve thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 269 468 538 807 827 1076 1614 1654 2421 2481 3228 3308 3497 4842 4962 6994 7443 9684 9924 10491 10751 13988 14886 20982 21502 29772 31473 32253 41964 43004 62946 64506 96759 125892 129012 193518 222463 387036 444926 667389 889852 1334778 2002167 2669556 2892019 4004334 5784038 8008668 8676057 11568076 17352114 26028171 34704228 52056342 104112684