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130053824 = 267128621
BaseRepresentation
bin1111100000001…
…11011011000000
3100001201102022022
413300013123000
5231243210244
620523301012
73136303445
oct760073300
9301642268
10130053824
11674593aa
123767a768
1320c37134
14133b59cc
15b63e6ee
hex7c076c0

130053824 has 28 divisors (see below), whose sum is σ = 261719568. Its totient is φ = 64108800.

The previous prime is 130053809. The next prime is 130053827. The reversal of 130053824 is 428350031.

It is a junction number, because it is equal to n+sod(n) for n = 130053793 and 130053802.

It is not an unprimeable number, because it can be changed into a prime (130053827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9767 + ... + 18854.

Almost surely, 2130053824 is an apocalyptic number.

It is an amenable number.

130053824 is an abundant number, since it is smaller than the sum of its proper divisors (131665744).

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

130053824 is an equidigital number, since it uses as much as digits as its factorization.

130053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28704 (or 28694 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 130053824 is about 11404.1143452703. The cubic root of 130053824 is about 506.6496054581.

The spelling of 130053824 in words is "one hundred thirty million, fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4544 28621 57242 114484 228968 457936 915872 1831744 2032091 4064182 8128364 16256728 32513456 65026912 130053824