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107087808 = 2634711867
BaseRepresentation
bin1100110001000…
…00011111000000
321110111121212010
412120200133000
5204403302213
614343132520
72440142232
oct630403700
9243447763
10107087808
11554a2723
122ba44140
1319255989
1410318252
159604ac3
hex66207c0

107087808 has 56 divisors (see below), whose sum is σ = 289389312. Its totient is φ = 34933504.

The previous prime is 107087803. The next prime is 107087833. The reversal of 107087808 is 808780701.

It is a happy number.

It is a super-2 number, since 2×1070878082 = 22935597244489728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107087801) 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, 3091 + ... + 14957.

Almost surely, 2107087808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107087808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144694656).

107087808 is an abundant number, since it is smaller than the sum of its proper divisors (182301504).

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

107087808 is a wasteful number, since it uses less digits than its factorization.

107087808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11929 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The square root of 107087808 is about 10348.3239222591. The cubic root of 107087808 is about 474.8757688042.

The spelling of 107087808 in words is "one hundred seven million, eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 11867 23734 35601 47468 71202 94936 142404 189872 284808 379744 557749 569616 759488 1115498 1139232 1673247 2230996 2278464 3346494 4461992 6692988 8923984 13385976 17847968 26771952 35695936 53543904 107087808