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130426016 = 2571035653
BaseRepresentation
bin1111100011000…
…10010010100000
3100002102022212012
413301202102200
5231342113031
620535252052
73142413530
oct761422240
9302368765
10130426016
1167692aa6
123781a028
1321037676
14134714c0
15b6b4b2b
hex7c624a0

130426016 has 48 divisors (see below), whose sum is σ = 296360064. Its totient is φ = 55344384.

The previous prime is 130426007. The next prime is 130426033. The reversal of 130426016 is 610624031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130425982 and 130426000.

It is an unprimeable number.

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, 20246 + ... + 25898.

It is an arithmetic number, because the mean of its divisors is an integer number (6174168).

Almost surely, 2130426016 is an apocalyptic number.

130426016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148180032).

130426016 is an abundant number, since it is smaller than the sum of its proper divisors (165934048).

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

130426016 is a wasteful number, since it uses less digits than its factorization.

130426016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 130426016 is about 11420.4210080014. The cubic root of 130426016 is about 507.1324602322.

The spelling of 130426016 in words is "one hundred thirty million, four hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3296 5653 5768 11306 11536 22612 23072 39571 45224 79142 90448 158284 180896 316568 582259 633136 1164518 1266272 2329036 4075813 4658072 8151626 9316144 16303252 18632288 32606504 65213008 130426016