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107412930 = 23257316349
BaseRepresentation
bin1100110011011…
…11110111000010
321111010010211200
412121233313002
5204444203210
614354122030
72442665142
oct631576702
9244103750
10107412930
11556a4a19
122bb80316
131933a961
14103a0922
15966b0c0
hex666fdc2

107412930 has 48 divisors (see below), whose sum is σ = 283116600. Its totient is φ = 28249344.

The previous prime is 107412901. The next prime is 107412931. The reversal of 107412930 is 39214701.

It can be written as a sum of positive squares in 4 ways, for example, as 71520849 + 35892081 = 8457^2 + 5991^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107412894 and 107412903.

It is not an unprimeable number, because it can be changed into a prime (107412931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1605 + ... + 14744.

Almost surely, 2107412930 is an apocalyptic number.

107412930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107412930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141558300).

107412930 is an abundant number, since it is smaller than the sum of its proper divisors (175703670).

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

107412930 is a wasteful number, since it uses less digits than its factorization.

107412930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16435 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107412930 is about 10364.0209378407. The cubic root of 107412930 is about 475.3558625973.

The spelling of 107412930 in words is "one hundred seven million, four hundred twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 16349 32698 49047 81745 98094 147141 163490 245235 294282 490470 735705 1193477 1471410 2386954 3580431 5967385 7160862 10741293 11934770 17902155 21482586 35804310 53706465 107412930