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102707952 = 2434152189
BaseRepresentation
bin1100001111100…
…11001011110000
321011021002211020
412013303023300
5202243123302
614105215440
72355001044
oct607631360
9234232736
10102707952
1152a81006
122a491580
1318381249
14d8d8024
15903bebc
hex61f32f0

102707952 has 40 divisors (see below), whose sum is σ = 271805520. Its totient is φ = 33400320.

The previous prime is 102707947. The next prime is 102707953. The reversal of 102707952 is 259707201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102707953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24127 + ... + 28062.

It is an arithmetic number, because the mean of its divisors is an integer number (6795138).

Almost surely, 2102707952 is an apocalyptic number.

102707952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102707952 is an abundant number, since it is smaller than the sum of its proper divisors (169097568).

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

102707952 is a wasteful number, since it uses less digits than its factorization.

102707952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52241 (or 52235 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 102707952 is about 10134.4931792369. The cubic root of 102707952 is about 468.3113568402.

The spelling of 102707952 in words is "one hundred two million, seven hundred seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 52189 104378 156567 208756 313134 417512 626268 835024 1252536 2139749 2505072 4279498 6419247 8558996 12838494 17117992 25676988 34235984 51353976 102707952