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106839712 = 2572916447
BaseRepresentation
bin1100101111000…
…11111010100000
321110001000112101
412113203322200
5204322332322
614333540144
72435060020
oct627437240
9243030471
10106839712
1155343291
122b944654
1319199a85
1410291a80
1595a6327
hex65e3ea0

106839712 has 48 divisors (see below), whose sum is σ = 248693760. Its totient is φ = 44206848.

The previous prime is 106839703. The next prime is 106839749. The reversal of 106839712 is 217938601.

It is a super-2 number, since 2×1068397122 = 22829448120485888, 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, 1728 + ... + 14719.

It is an arithmetic number, because the mean of its divisors is an integer number (5181120).

Almost surely, 2106839712 is an apocalyptic number.

It is an amenable number.

106839712 is an abundant number, since it is smaller than the sum of its proper divisors (141854048).

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

106839712 is a wasteful number, since it uses less digits than its factorization.

106839712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16493 (or 16485 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 106839712 is about 10336.3297161033. The cubic root of 106839712 is about 474.5087619500.

The spelling of 106839712 in words is "one hundred six million, eight hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 16447 32894 65788 115129 131576 230258 263152 460516 476963 526304 921032 953926 1842064 1907852 3338741 3684128 3815704 6677482 7631408 13354964 15262816 26709928 53419856 106839712