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130427520 = 273567931
BaseRepresentation
bin1111100011000…
…10101010000000
3100002102101220220
413301202222000
5231342140040
620535303040
73142421106
oct761425200
9302371826
10130427520
1167694143
123781aa80
1321038262
1413471c76
15b6b52d0
hex7c62a80

130427520 has 64 divisors (see below), whose sum is σ = 415743840. Its totient is φ = 34780160.

The previous prime is 130427489. The next prime is 130427527. The reversal of 130427520 is 25724031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1304275202 = 34022675946700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130427527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32046 + ... + 35885.

Almost surely, 2130427520 is an apocalyptic number.

130427520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130427520 is an abundant number, since it is smaller than the sum of its proper divisors (285316320).

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

130427520 is an equidigital number, since it uses as much as digits as its factorization.

130427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67953 (or 67941 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 130427520 is about 11420.4868547711. The cubic root of 130427520 is about 507.1344095475.

The spelling of 130427520 in words is "one hundred thirty million, four hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 67931 135862 203793 271724 339655 407586 543448 679310 815172 1018965 1086896 1358620 1630344 2037930 2173792 2717240 3260688 4075860 4347584 5434480 6521376 8151720 8695168 10868960 13042752 16303440 21737920 26085504 32606880 43475840 65213760 130427520