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106023792 = 2437315547
BaseRepresentation
bin1100101000111…
…00101101110000
321101111120022010
412110130231300
5204120230132
614304242520
72425121160
oct624345560
9241446263
10106023792
1154936276
122b610440
1318c72594
141011c5a0
1594946cc
hex651cb70

106023792 has 40 divisors (see below), whose sum is σ = 313023616. Its totient is φ = 30292416.

The previous prime is 106023787. The next prime is 106023811. The reversal of 106023792 is 297320601.

It is a super-2 number, since 2×1060237922 = 22482088940118528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157438 + ... + 158109.

Almost surely, 2106023792 is an apocalyptic number.

106023792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106023792 is an abundant number, since it is smaller than the sum of its proper divisors (206999824).

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

106023792 is a wasteful number, since it uses less digits than its factorization.

106023792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315565 (or 315559 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 106023792 is about 10296.7855178206. The cubic root of 106023792 is about 473.2977548254.

The spelling of 106023792 in words is "one hundred six million, twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 315547 631094 946641 1262188 1893282 2208829 2524376 3786564 4417658 5048752 6626487 7573128 8835316 13252974 15146256 17670632 26505948 35341264 53011896 106023792