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107412336 = 24322393121
BaseRepresentation
bin1100110011011…
…11101101110000
321111010010000200
412121233231300
5204444143321
614354115200
72442663333
oct631575560
9244103020
10107412336
11556a4529
122bb7bb00
131933a5c5
14103a061a
15966ad26
hex666fb70

107412336 has 60 divisors (see below), whose sum is σ = 301959840. Its totient is φ = 35642880.

The previous prime is 107412313. The next prime is 107412337. The reversal of 107412336 is 633214701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107412337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32856 + ... + 35976.

It is an arithmetic number, because the mean of its divisors is an integer number (5032664).

Almost surely, 2107412336 is an apocalyptic number.

107412336 is a gapful number since it is divisible by the number (16) 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 107412336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150979920).

107412336 is an abundant number, since it is smaller than the sum of its proper divisors (194547504).

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

107412336 is a wasteful number, since it uses less digits than its factorization.

107412336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 107412336 is about 10363.9922809697. The cubic root of 107412336 is about 475.3549863467.

The spelling of 107412336 in words is "one hundred seven million, four hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3121 3824 4302 5736 6242 8604 9363 11472 12484 17208 18726 24968 28089 34416 37452 49936 56178 74904 112356 149808 224712 449424 745919 1491838 2237757 2983676 4475514 5967352 6713271 8951028 11934704 13426542 17902056 26853084 35804112 53706168 107412336