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130071024 = 24324122031
BaseRepresentation
bin1111100000010…
…11100111110000
3100001202021220100
413300023213300
5231244233044
620523512400
73136404546
oct760134760
9301667810
10130071024
1167470316
1237688700
1320c41c05
14133bbd96
15b644869
hex7c0b9f0

130071024 has 60 divisors (see below), whose sum is σ = 372913632. Its totient is φ = 42297600.

The previous prime is 130070989. The next prime is 130071037. The reversal of 130071024 is 420170031.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130070988 and 130071006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5112 + ... + 16919.

Almost surely, 2130071024 is an apocalyptic number.

It is an amenable number.

130071024 is an abundant number, since it is smaller than the sum of its proper divisors (242842608).

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

130071024 is a wasteful number, since it uses less digits than its factorization.

130071024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22086 (or 22077 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 130071024 is about 11404.8684341381. The cubic root of 130071024 is about 506.6719397728.

The spelling of 130071024 in words is "one hundred thirty million, seventy-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 22031 44062 66093 88124 132186 176248 198279 264372 352496 396558 528744 793116 903271 1057488 1586232 1806542 2709813 3172464 3613084 5419626 7226168 8129439 10839252 14452336 16258878 21678504 32517756 43357008 65035512 130071024