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107869952 = 282111997
BaseRepresentation
bin1100110110111…
…11011100000000
321111222100202102
412123133130000
5210103314302
614412005532
72446610441
oct633373400
9244870672
10107869952
1155987323
12301608a8
131946a998
141047d2c8
15970b702
hex66df700

107869952 has 36 divisors (see below), whose sum is σ = 216447336. Its totient is φ = 53652480.

The previous prime is 107869939. The next prime is 107869961. The reversal of 107869952 is 259968701.

It is a junction number, because it is equal to n+sod(n) for n = 107869897 and 107869906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53018 + ... + 55014.

It is an arithmetic number, because the mean of its divisors is an integer number (6012426).

Almost surely, 2107869952 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 107869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108223668).

107869952 is an abundant number, since it is smaller than the sum of its proper divisors (108577384).

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

107869952 is an equidigital number, since it uses as much as digits as its factorization.

107869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 107869952 is about 10386.0460233912. The cubic root of 107869952 is about 476.0290922124.

The spelling of 107869952 in words is "one hundred seven million, eight hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 844 1688 1997 3376 3994 6752 7988 13504 15976 27008 31952 54016 63904 127808 255616 421367 511232 842734 1685468 3370936 6741872 13483744 26967488 53934976 107869952