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130449504 = 2531518999
BaseRepresentation
bin1111100011010…
…00000001100000
3100002110112002010
413301220001200
5231343341004
620535552520
73142542153
oct761500140
9302415063
10130449504
11676a9709
123782b740
1321045273
1413479c9a
15b6bba89
hex7c68060

130449504 has 48 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 43190400.

The previous prime is 130449503. The next prime is 130449521. The reversal of 130449504 is 405944031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130449503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9997 + ... + 18995.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2130449504 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 130449504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

130449504 is an abundant number, since it is smaller than the sum of its proper divisors (214286496).

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

130449504 is a wasteful number, since it uses less digits than its factorization.

130449504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9163 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 130449504 is about 11421.4492950763. The cubic root of 130449504 is about 507.1629010205.

The spelling of 130449504 in words is "one hundred thirty million, four hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 8999 14496 17998 26997 35996 53994 71992 107988 143984 215976 287968 431952 863904 1358849 2717698 4076547 5435396 8153094 10870792 16306188 21741584 32612376 43483168 65224752 130449504