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106969392 = 24321939097
BaseRepresentation
bin1100110000000…
…11100100110000
321110021121102100
412120003210300
5204341010032
614340420400
72436140055
oct630034460
9243247370
10106969392
1155421762
122b9a7700
1319213aca
14102c702c
1595ce97c
hex6603930

106969392 has 60 divisors (see below), whose sum is σ = 315129880. Its totient is φ = 33778944.

The previous prime is 106969361. The next prime is 106969393. The reversal of 106969392 is 293969601.

It is a happy number.

It is a super-2 number, since 2×1069693922 = 22884901649699328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106969393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16813 + ... + 22284.

Almost surely, 2106969392 is an apocalyptic number.

106969392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106969392 is an abundant number, since it is smaller than the sum of its proper divisors (208160488).

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

106969392 is a wasteful number, since it uses less digits than its factorization.

106969392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39130 (or 39121 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 106969392 is about 10342.6008334461. The cubic root of 106969392 is about 474.7006675486.

The spelling of 106969392 in words is "one hundred six million, nine hundred sixty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 39097 78194 117291 156388 234582 312776 351873 469164 625552 703746 742843 938328 1407492 1485686 1876656 2228529 2814984 2971372 4457058 5629968 5942744 6685587 8914116 11885488 13371174 17828232 26742348 35656464 53484696 106969392