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107486904 = 23372392677
BaseRepresentation
bin1100110100000…
…01111010111000
321111020220022110
412122001322320
5210004040104
614355452320
72443423620
oct632017270
9244226273
10107486904
1155745558
122bbb70a0
1319365525
14103bd880
159682e89
hex6681eb8

107486904 has 64 divisors (see below), whose sum is σ = 308505600. Its totient is φ = 30570624.

The previous prime is 107486891. The next prime is 107486947. The reversal of 107486904 is 409684701.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 38814 + ... + 41490.

It is an arithmetic number, because the mean of its divisors is an integer number (4820400).

Almost surely, 2107486904 is an apocalyptic number.

107486904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107486904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154252800).

107486904 is an abundant number, since it is smaller than the sum of its proper divisors (201018696).

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

107486904 is a wasteful number, since it uses less digits than its factorization.

107486904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 107486904 is about 10367.5891122286. The cubic root of 107486904 is about 475.4649615215.

It can be divided in two parts, 1074 and 86904, that added together give a palindrome (87978).

The spelling of 107486904 in words is "one hundred seven million, four hundred eighty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 239 478 717 956 1434 1673 1912 2677 2868 3346 5019 5354 5736 6692 8031 10038 10708 13384 16062 18739 20076 21416 32124 37478 40152 56217 64248 74956 112434 149912 224868 449736 639803 1279606 1919409 2559212 3838818 4478621 5118424 7677636 8957242 13435863 15355272 17914484 26871726 35828968 53743452 107486904