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106979928 = 23311405227
BaseRepresentation
bin1100110000001…
…10001001011000
321110022010212120
412120012021120
5204341324203
614340541240
72436212556
oct630061130
9243263776
10106979928
1155429670
122b9b1820
1319218843
14102cabd6
1595d2b53
hex6606258

106979928 has 32 divisors (see below), whose sum is σ = 291764160. Its totient is φ = 32418080.

The previous prime is 106979897. The next prime is 106979941. The reversal of 106979928 is 829979601.

It is a happy number.

It is a super-2 number, since 2×1069799282 = 22889409989770368, which contains 22 as substring.

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, 202350 + ... + 202877.

It is an arithmetic number, because the mean of its divisors is an integer number (9117630).

Almost surely, 2106979928 is an apocalyptic number.

It is an amenable number.

106979928 is an abundant number, since it is smaller than the sum of its proper divisors (184784232).

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

106979928 is a wasteful number, since it uses less digits than its factorization.

106979928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405247 (or 405243 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 106979928 is about 10343.1101705435. The cubic root of 106979928 is about 474.7162523246.

The spelling of 106979928 in words is "one hundred six million, nine hundred seventy-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 405227 810454 1215681 1620908 2431362 3241816 4457497 4862724 8914994 9725448 13372491 17829988 26744982 35659976 53489964 106979928