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107608812 = 223233112577
BaseRepresentation
bin1100110100111…
…11101011101100
321111111002112120
412122133223230
5210021440222
614402232540
72444442213
oct632375354
9244432476
10107608812
1155819103
1230055750
13193a8b6c
141041207a
1596a915c
hex669faec

107608812 has 48 divisors (see below), whose sum is σ = 270477312. Its totient is φ = 33200640.

The previous prime is 107608811. The next prime is 107608849. The reversal of 107608812 is 218806701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107608811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2268 + ... + 14844.

It is an arithmetic number, because the mean of its divisors is an integer number (5634944).

Almost surely, 2107608812 is an apocalyptic number.

107608812 is a gapful number since it is divisible by the number (12) 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 107608812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135238656).

107608812 is an abundant number, since it is smaller than the sum of its proper divisors (162868500).

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

107608812 is a wasteful number, since it uses less digits than its factorization.

107608812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 107608812 is about 10373.4667300763. The cubic root of 107608812 is about 475.6446456844.

The spelling of 107608812 in words is "one hundred seven million, six hundred eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 8556 12577 25154 37731 50308 75462 150924 289271 389887 578542 779774 867813 1157084 1169661 1559548 1735626 2339322 3471252 4678644 8967401 17934802 26902203 35869604 53804406 107608812