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130694592 = 2637472069
BaseRepresentation
bin1111100101000…
…11110111000000
3100002220222021110
413302203313000
5231424211332
620545123320
73144612540
oct762436700
9302828243
10130694592
1167856866
1237929540
13210cc9a2
1413501320
15b7194cc
hex7ca3dc0

130694592 has 112 divisors (see below), whose sum is σ = 403799040. Its totient is φ = 36529152.

The previous prime is 130694573. The next prime is 130694609. The reversal of 130694592 is 295496031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 130694592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62134 + ... + 64202.

Almost surely, 2130694592 is an apocalyptic number.

130694592 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 130694592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201899520).

130694592 is an abundant number, since it is smaller than the sum of its proper divisors (273104448).

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

130694592 is a wasteful number, since it uses less digits than its factorization.

130694592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 130694592 is about 11432.1735466183. The cubic root of 130694592 is about 507.4803208495.

The spelling of 130694592 in words is "one hundred thirty million, six hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2069 2256 2632 3008 3948 4138 4512 5264 6207 7896 8276 9024 10528 12414 14483 15792 16552 21056 24828 28966 31584 33104 43449 49656 57932 63168 66208 86898 97243 99312 115864 132416 173796 194486 198624 231728 291729 347592 388972 397248 463456 583458 680701 695184 777944 926912 1166916 1361402 1390368 1555888 2042103 2333832 2722804 2780736 3111776 4084206 4667664 5445608 6223552 8168412 9335328 10891216 16336824 18670656 21782432 32673648 43564864 65347296 130694592