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130563144 = 23332932063
BaseRepresentation
bin1111100100000…
…11110001001000
3100002200021222000
413302003301020
5231411010034
620542231000
73143524365
oct762036110
9302607860
10130563144
1167777028
1237885460
1321084bca
14134a946c
15b6e0599
hex7c83c48

130563144 has 64 divisors (see below), whose sum is σ = 364089600. Its totient is φ = 43351488.

The previous prime is 130563131. The next prime is 130563161. The reversal of 130563144 is 441365031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62257 + ... + 64319.

It is an arithmetic number, because the mean of its divisors is an integer number (5688900).

Almost surely, 2130563144 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 130563144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182044800).

130563144 is an abundant number, since it is smaller than the sum of its proper divisors (233526456).

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

130563144 is a wasteful number, since it uses less digits than its factorization.

130563144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130563144 is about 11426.4230623586. The cubic root of 130563144 is about 507.3101285239.

The spelling of 130563144 in words is "one hundred thirty million, five hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 293 586 879 1172 1758 2063 2344 2637 3516 4126 5274 6189 7032 7911 8252 10548 12378 15822 16504 18567 21096 24756 31644 37134 49512 55701 63288 74268 111402 148536 222804 445608 604459 1208918 1813377 2417836 3626754 4835672 5440131 7253508 10880262 14507016 16320393 21760524 32640786 43521048 65281572 130563144