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130153152 = 2634714423
BaseRepresentation
bin1111100000111…
…11101011000000
3100001220110120010
413300133223000
5231304400102
620525344520
73140166153
oct760375300
9301813503
10130153152
1167516a98
1237708140
1320c703cc
14133ddc9a
15b65dd6c
hex7c1fac0

130153152 has 56 divisors (see below), whose sum is σ = 351714816. Its totient is φ = 42458368.

The previous prime is 130153141. The next prime is 130153171. The reversal of 130153152 is 251351031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1813 + ... + 16235.

Almost surely, 2130153152 is an apocalyptic number.

130153152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175857408).

130153152 is an abundant number, since it is smaller than the sum of its proper divisors (221561664).

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

130153152 is a wasteful number, since it uses less digits than its factorization.

130153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14485 (or 14475 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 130153152 is about 11408.4684335804. The cubic root of 130153152 is about 506.7785563909.

It can be divided in two parts, 130153 and 152, that added together give a triangular number (130305 = T510).

The spelling of 130153152 in words is "one hundred thirty million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 14423 28846 43269 57692 86538 115384 173076 230768 346152 461536 677881 692304 923072 1355762 1384608 2033643 2711524 2769216 4067286 5423048 8134572 10846096 16269144 21692192 32538288 43384384 65076576 130153152