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130455624 = 23313461907
BaseRepresentation
bin1111100011010…
…01100001001000
3100002110211110210
413301221201020
5231344034444
620540041120
73142566045
oct761514110
9302424423
10130455624
1167703272
12378331a0
1321047ca0
141347c1cc
15b6bd7b9
hex7c69848

130455624 has 64 divisors (see below), whose sum is σ = 352376640. Its totient is φ = 40008960.

The previous prime is 130455607. The next prime is 130455629. The reversal of 130455624 is 426554031.

It is a junction number, because it is equal to n+sod(n) for n = 130455591 and 130455600.

It is not an unprimeable number, because it can be changed into a prime (130455629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143379 + ... + 144285.

It is an arithmetic number, because the mean of its divisors is an integer number (5505885).

Almost surely, 2130455624 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 130455624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176188320).

130455624 is an abundant number, since it is smaller than the sum of its proper divisors (221921016).

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

130455624 is a wasteful number, since it uses less digits than its factorization.

130455624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 130455624 is about 11421.7172088964. The cubic root of 130455624 is about 507.1708320292.

The spelling of 130455624 in words is "one hundred thirty million, four hundred fifty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 461 907 922 1383 1814 1844 2721 2766 3628 3688 5442 5532 5993 7256 10884 11064 11791 11986 17979 21768 23582 23972 35373 35958 47164 47944 70746 71916 94328 141492 143832 282984 418127 836254 1254381 1672508 2508762 3345016 5017524 5435651 10035048 10871302 16306953 21742604 32613906 43485208 65227812 130455624