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106415932 = 22731122599
BaseRepresentation
bin1100101011111…
…00011100111100
321102020111012211
412111330130330
5204220302212
614320510204
72431343350
oct625743474
9242214184
10106415932
1155083957
122b77b364
131907bc0c
14101c1460
1595209a7
hex657c73c

106415932 has 24 divisors (see below), whose sum is σ = 219699200. Its totient is φ = 44135280.

The previous prime is 106415929. The next prime is 106415977. The reversal of 106415932 is 239514601.

It is a super-2 number, since 2×1064159322 = 22648701166857248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 106415894 and 106415903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60432 + ... + 62167.

Almost surely, 2106415932 is an apocalyptic number.

It is an amenable number.

106415932 is an abundant number, since it is smaller than the sum of its proper divisors (113283268).

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

106415932 is a wasteful number, since it uses less digits than its factorization.

106415932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122641 (or 122639 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106415932 is about 10315.8098082506. The cubic root of 106415932 is about 473.8805505296.

The spelling of 106415932 in words is "one hundred six million, four hundred fifteen thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 122599 245198 490396 858193 1716386 3432772 3800569 7601138 15202276 26603983 53207966 106415932