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107434912 = 25131012557
BaseRepresentation
bin1100110011101…
…01001110100000
321111011020222211
412121311032200
5210000404122
614354411504
72443116214
oct631651640
9244136884
10107434912
115570a492
122bb90b94
1319347970
14103a8944
159672877
hex66753a0

107434912 has 48 divisors (see below), whose sum is σ = 230127912. Its totient is φ = 49075200.

The previous prime is 107434867. The next prime is 107434913. The reversal of 107434912 is 219434701.

It can be written as a sum of positive squares in 4 ways, for example, as 96118416 + 11316496 = 9804^2 + 3364^2 .

It is not an unprimeable number, because it can be changed into a prime (107434913) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40738 + ... + 43294.

Almost surely, 2107434912 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 107434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115063956).

107434912 is an abundant number, since it is smaller than the sum of its proper divisors (122693000).

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

107434912 is a wasteful number, since it uses less digits than its factorization.

107434912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 107434912 is about 10365.0813793236. The cubic root of 107434912 is about 475.3882874951.

The spelling of 107434912 in words is "one hundred seven million, four hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2557 2626 3232 5114 5252 10228 10504 20456 21008 33241 40912 42016 66482 81824 132964 258257 265928 516514 531856 1033028 1063712 2066056 3357341 4132112 6714682 8264224 13429364 26858728 53717456 107434912