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106872936 = 23325717327
BaseRepresentation
bin1100101111011…
…00000001101000
321110002201002220
412113230001220
5204324413221
614334354040
72435255622
oct627540150
9243081086
10106872936
1155366245
122b95b920
13191abc31
141029dc12
1595b10c6
hex65ec068

106872936 has 32 divisors (see below), whose sum is σ = 268237440. Its totient is φ = 35483648.

The previous prime is 106872923. The next prime is 106872959. The reversal of 106872936 is 639278601.

It is a happy number.

It is a super-2 number, since 2×1068729362 = 22843648898520192, which contains 22 as substring.

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, 2496 + ... + 14831.

It is an arithmetic number, because the mean of its divisors is an integer number (8382420).

Almost surely, 2106872936 is an apocalyptic number.

It is an amenable number.

106872936 is an abundant number, since it is smaller than the sum of its proper divisors (161364504).

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

106872936 is a wasteful number, since it uses less digits than its factorization.

106872936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17593 (or 17589 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 106872936 is about 10337.9367380537. The cubic root of 106872936 is about 474.5579429301.

The spelling of 106872936 in words is "one hundred six million, eight hundred seventy-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 257 514 771 1028 1542 2056 3084 6168 17327 34654 51981 69308 103962 138616 207924 415848 4453039 8906078 13359117 17812156 26718234 35624312 53436468 106872936