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106826096 = 24131730211
BaseRepresentation
bin1100101111000…
…00100101110000
321110000022212002
412113200211300
5204321413341
614333353132
72435002226
oct627404560
9243008762
10106826096
1155334033
122b9387a8
1319193810
141028ab16
1595a229b
hex65e0970

106826096 has 40 divisors (see below), whose sum is σ = 236016144. Its totient is φ = 46402560.

The previous prime is 106826051. The next prime is 106826117. The reversal of 106826096 is 690628601.

It is a super-2 number, since 2×1068260962 = 22823629573202432, 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, 11570 + ... + 18641.

Almost surely, 2106826096 is an apocalyptic number.

106826096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106826096 is an abundant number, since it is smaller than the sum of its proper divisors (129190048).

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

106826096 is a wasteful number, since it uses less digits than its factorization.

106826096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30249 (or 30243 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 106826096 is about 10335.6710473970. The cubic root of 106826096 is about 474.4886034476.

The spelling of 106826096 in words is "one hundred six million, eight hundred twenty-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 30211 60422 120844 241688 392743 483376 513587 785486 1027174 1570972 2054348 3141944 4108696 6283888 6676631 8217392 13353262 26706524 53413048 106826096