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130359705 = 35741107283
BaseRepresentation
bin1111100010100…
…10000110011001
3100002021221220020
413301102012121
5231333002310
620534021053
73142016310
oct761220631
9302257806
10130359705
11676481a3
12377a7789
1321013428
1413455277
15b6a0170
hex7c52199

130359705 has 64 divisors (see below), whose sum is σ = 247339008. Its totient is φ = 57392640.

The previous prime is 130359683. The next prime is 130359709. The reversal of 130359705 is 507953031.

It is not a de Polignac number, because 130359705 - 26 = 130359641 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130359709) 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 63 ways as a sum of consecutive naturals, for example, 460494 + ... + 460776.

It is an arithmetic number, because the mean of its divisors is an integer number (3864672).

Almost surely, 2130359705 is an apocalyptic number.

130359705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130359705 is a deficient number, since it is larger than the sum of its proper divisors (116979303).

130359705 is a wasteful number, since it uses less digits than its factorization.

130359705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 130359705 is about 11417.5174622157. The cubic root of 130359705 is about 507.0465004870.

The spelling of 130359705 in words is "one hundred thirty million, three hundred fifty-nine thousand, seven hundred five".

Divisors: 1 3 5 7 15 21 35 41 105 107 123 205 283 287 321 535 615 749 849 861 1415 1435 1605 1981 2247 3745 4245 4305 4387 5943 9905 11235 11603 13161 21935 29715 30281 30709 34809 58015 65805 81221 90843 92127 151405 153545 174045 211967 243663 406105 454215 460635 635901 1059835 1218315 1241521 3179505 3724563 6207605 8690647 18622815 26071941 43453235 130359705