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107130430 = 25111759971
BaseRepresentation
bin1100110001010…
…10111000111110
321110120210022201
412120222320332
5204411133210
614344102114
72440410421
oct630527076
9243523281
10107130430
1155521750
122ba6493a
131926c1b4
14103299b8
15961253a
hex662ae3e

107130430 has 64 divisors (see below), whose sum is σ = 226748160. Its totient is φ = 36006400.

The previous prime is 107130421. The next prime is 107130431. The reversal of 107130430 is 34031701.

It is a super-2 number, since 2×1071304302 = 22953858063969800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107130398 and 107130407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107130431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109845 + ... + 110815.

It is an arithmetic number, because the mean of its divisors is an integer number (3542940).

Almost surely, 2107130430 is an apocalyptic number.

107130430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107130430 is an abundant number, since it is smaller than the sum of its proper divisors (119617730).

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

107130430 is a wasteful number, since it uses less digits than its factorization.

107130430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 107130430 is about 10350.3830846979. The cubic root of 107130430 is about 474.9387621886.

The spelling of 107130430 in words is "one hundred seven million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 59 85 110 118 170 187 295 374 590 649 935 971 1003 1298 1870 1942 2006 3245 4855 5015 6490 9710 10030 10681 11033 16507 21362 22066 33014 53405 55165 57289 82535 106810 110330 114578 165070 181577 286445 363154 572890 630179 907885 973913 1260358 1815770 1947826 3150895 4869565 6301790 9739130 10713043 21426086 53565215 107130430