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106964238 = 23172936161
BaseRepresentation
bin1100110000000…
…10010100001110
321110021100100110
412120002110032
5204340323423
614340340450
72436116043
oct630022416
9243240313
10106964238
11554188a7
122b9a4726
1319211664
14102c51ca
1595cd193
hex660250e

106964238 has 32 divisors (see below), whose sum is σ = 234329760. Its totient is φ = 32399360.

The previous prime is 106964233. The next prime is 106964239. The reversal of 106964238 is 832469601.

It is a super-2 number, since 2×1069642382 = 22882696421841288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106964196 and 106964205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106964233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15123 + ... + 21038.

It is an arithmetic number, because the mean of its divisors is an integer number (7322805).

Almost surely, 2106964238 is an apocalyptic number.

106964238 is an abundant number, since it is smaller than the sum of its proper divisors (127365522).

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

106964238 is a wasteful number, since it uses less digits than its factorization.

106964238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36212.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 106964238 is about 10342.3516668116. The cubic root of 106964238 is about 474.6930434158.

The spelling of 106964238 in words is "one hundred six million, nine hundred sixty-four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 17 29 34 51 58 87 102 174 493 986 1479 2958 36161 72322 108483 216966 614737 1048669 1229474 1844211 2097338 3146007 3688422 6292014 17827373 35654746 53482119 106964238