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101904712 = 23721319997
BaseRepresentation
bin1100001001011…
…11000101001000
321002202021222121
412010233011020
5202041422322
614040101024
72345114200
oct604570510
9232667877
10101904712
1152582578
122a164774
131815c760
14d769400
158e2dec7
hex612f148

101904712 has 48 divisors (see below), whose sum is σ = 239376060. Its totient is φ = 40311936.

The previous prime is 101904703. The next prime is 101904713. The reversal of 101904712 is 217409101.

It can be written as a sum of positive squares in 2 ways, for example, as 101888836 + 15876 = 10094^2 + 126^2 .

It is not an unprimeable number, because it can be changed into a prime (101904713) 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 11 ways as a sum of consecutive naturals, for example, 4903 + ... + 15094.

Almost surely, 2101904712 is an apocalyptic number.

It is an amenable number.

101904712 is an abundant number, since it is smaller than the sum of its proper divisors (137471348).

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

101904712 is a wasteful number, since it uses less digits than its factorization.

101904712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20030 (or 20019 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 101904712 is about 10094.7863771355. The cubic root of 101904712 is about 467.0873317990.

The spelling of 101904712 in words is "one hundred one million, nine hundred four thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 19997 39994 79988 139979 159976 259961 279958 519922 559916 979853 1039844 1119832 1819727 1959706 2079688 3639454 3919412 7278908 7838824 12738089 14557816 25476178 50952356 101904712