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130537407 = 371113172557
BaseRepresentation
bin1111100011111…
…01011110111111
3100002121222122210
413301331132333
5231404144112
620541511503
73143356350
oct761753677
9302558583
10130537407
1167759760
1237872593
1321076290
141349dd27
15b6d7b3c
hex7c7d7bf

130537407 has 64 divisors (see below), whose sum is σ = 247532544. Its totient is φ = 58890240.

The previous prime is 130537367. The next prime is 130537411. The reversal of 130537407 is 704735031.

It is not a de Polignac number, because 130537407 - 26 = 130537343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130537427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49773 + ... + 52329.

It is an arithmetic number, because the mean of its divisors is an integer number (3867696).

Almost surely, 2130537407 is an apocalyptic number.

130537407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

130537407 is a deficient number, since it is larger than the sum of its proper divisors (116995137).

130537407 is a wasteful number, since it uses less digits than its factorization.

130537407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 130537407 is about 11425.2968013965. The cubic root of 130537407 is about 507.2767921668.

The spelling of 130537407 in words is "one hundred thirty million, five hundred thirty-seven thousand, four hundred seven".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 119 143 187 221 231 273 357 429 561 663 1001 1309 1547 2431 2557 3003 3927 4641 7293 7671 17017 17899 28127 33241 43469 51051 53697 84381 99723 130407 196889 232687 304283 365651 478159 565097 590667 698061 912849 1096953 1434477 1695291 2559557 3347113 3955679 6216067 7678671 10041339 11867037 18648201 43512469 130537407