Search a number
-
+
130151232 = 2633109691
BaseRepresentation
bin1111100000111…
…11001101000000
3100001220100221000
413300133031000
5231304314412
620525332000
73140160441
oct760371500
9301810830
10130151232
1167515602
1237707000
1320c6c583
14133dd2c8
15b65d4dc
hex7c1f340

130151232 has 112 divisors (see below), whose sum is σ = 386689600. Its totient is φ = 42923520.

The previous prime is 130151209. The next prime is 130151243. The reversal of 130151232 is 232151031.

It is a super-2 number, since 2×1301512322 = 33878686382235648, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188007 + ... + 188697.

Almost surely, 2130151232 is an apocalyptic number.

130151232 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 130151232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193344800).

130151232 is an abundant number, since it is smaller than the sum of its proper divisors (256538368).

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

130151232 is a wasteful number, since it uses less digits than its factorization.

130151232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130151232 is about 11408.3842852527. The cubic root of 130151232 is about 506.7760644046.

The spelling of 130151232 in words is "one hundred thirty million, one hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 109 144 192 216 218 288 327 432 436 576 654 691 864 872 981 1308 1382 1728 1744 1962 2073 2616 2764 2943 3488 3924 4146 5232 5528 5886 6219 6976 7848 8292 10464 11056 11772 12438 15696 16584 18657 20928 22112 23544 24876 31392 33168 37314 44224 47088 49752 62784 66336 74628 75319 94176 99504 132672 149256 150638 188352 199008 225957 298512 301276 398016 451914 597024 602552 677871 903828 1194048 1205104 1355742 1807656 2033613 2410208 2711484 3615312 4067226 4820416 5422968 7230624 8134452 10845936 14461248 16268904 21691872 32537808 43383744 65075616 130151232