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130924512 = 2535113149
BaseRepresentation
bin1111100110110…
…11111111100000
3100010100122200000
413303123333200
5232004041022
620554100000
73146561055
oct763337740
9303318600
10130924512
11679a3584
1237a1a600
1321180534
141356102c
15b7626ac
hex7cdbfe0

130924512 has 144 divisors (see below), whose sum is σ = 392137200. Its totient is φ = 42964992.

The previous prime is 130924477. The next prime is 130924553. The reversal of 130924512 is 215429031.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878614 + ... + 878762.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2130924512 is an apocalyptic number.

130924512 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 130924512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196068600).

130924512 is an abundant number, since it is smaller than the sum of its proper divisors (261212688).

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

130924512 is a wasteful number, since it uses less digits than its factorization.

130924512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130924512 is about 11442.2249584598. The cubic root of 130924512 is about 507.7777356563. Note that the first 4 decimals are identical.

The spelling of 130924512 in words is "one hundred thirty million, nine hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 113 144 149 162 216 226 243 288 298 324 339 432 447 452 486 596 648 678 864 894 904 972 1017 1192 1296 1341 1356 1788 1808 1944 2034 2384 2592 2682 2712 3051 3576 3616 3888 4023 4068 4768 5364 5424 6102 7152 7776 8046 8136 9153 10728 10848 12069 12204 14304 16092 16272 16837 18306 21456 24138 24408 27459 32184 32544 33674 36207 36612 42912 48276 48816 50511 54918 64368 67348 72414 73224 96552 97632 101022 109836 128736 134696 144828 146448 151533 193104 202044 219672 269392 289656 292896 303066 386208 404088 439344 454599 538784 579312 606132 808176 878688 909198 1158624 1212264 1363797 1616352 1818396 2424528 2727594 3636792 4091391 4849056 5455188 7273584 8182782 10910376 14547168 16365564 21820752 32731128 43641504 65462256 130924512