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130426624 = 284991021
BaseRepresentation
bin1111100011000…
…10011100000000
3100002102100200201
413301202130000
5231342122444
620535254544
73142415356
oct761423400
9302370621
10130426624
11676934a9
123781a454
1321037a23
14134717d6
15b6b4dd4
hex7c62700

130426624 has 36 divisors (see below), whose sum is σ = 261121000. Its totient is φ = 65018880.

The previous prime is 130426607. The next prime is 130426631. The reversal of 130426624 is 426624031.

It is a super-2 number, since 2×1304266242 = 34022208496074752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 130426592 and 130426601.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 127234 + ... + 128254.

Almost surely, 2130426624 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 130426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130560500).

130426624 is an abundant number, since it is smaller than the sum of its proper divisors (130694376).

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

130426624 is an equidigital number, since it uses as much as digits as its factorization.

130426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 130426624 is about 11420.4476269540. The cubic root of 130426624 is about 507.1332482550.

The spelling of 130426624 in words is "one hundred thirty million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 499 998 1021 1996 2042 3992 4084 7984 8168 15968 16336 31936 32672 63872 65344 127744 130688 261376 509479 1018958 2037916 4075832 8151664 16303328 32606656 65213312 130426624