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106234576 = 2475691667
BaseRepresentation
bin1100101010100…
…00001011010000
321101220021102221
412111100023100
5204144001301
614312550424
72426656540
oct625201320
9241807387
10106234576
1154a6a678
122b6b2414
13190174c6
1410175320
1594d6da1
hex65502d0

106234576 has 40 divisors (see below), whose sum is σ = 235788480. Its totient is φ = 45421824.

The previous prime is 106234573. The next prime is 106234589. The reversal of 106234576 is 675432601.

It is a happy number.

It is a super-2 number, since 2×1062345762 = 22571570275799552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106234571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62895 + ... + 64561.

It is an arithmetic number, because the mean of its divisors is an integer number (5894712).

Almost surely, 2106234576 is an apocalyptic number.

106234576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106234576 is an abundant number, since it is smaller than the sum of its proper divisors (129553904).

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

106234576 is a wasteful number, since it uses less digits than its factorization.

106234576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 106234576 is about 10307.0158629935. The cubic root of 106234576 is about 473.6111987932.

The spelling of 106234576 in words is "one hundred six million, two hundred thirty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 569 1138 1667 2276 3334 3983 4552 6668 7966 9104 11669 13336 15932 23338 26672 31864 46676 63728 93352 186704 948523 1897046 3794092 6639661 7588184 13279322 15176368 26558644 53117288 106234576