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130123692 = 223353127179
BaseRepresentation
bin1111100000110…
…00011110101100
3100001211222011000
413300120132230
5231302424232
620525000300
73140014236
oct760303654
9301758130
10130123692
11674a6946
12376b3090
1320c5cb8a
14133d3256
15b65527c
hex7c187ac

130123692 has 96 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 41985216.

The previous prime is 130123691. The next prime is 130123717. The reversal of 130123692 is 296321031.

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

It is not an unprimeable number, because it can be changed into a prime (130123691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726859 + ... + 727037.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2130123692 is an apocalyptic number.

130123692 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 130123692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

130123692 is an abundant number, since it is smaller than the sum of its proper divisors (218241108).

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

130123692 is a wasteful number, since it uses less digits than its factorization.

130123692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130123692 is about 11407.1772143682. The cubic root of 130123692 is about 506.7403172789.

The spelling of 130123692 in words is "one hundred thirty million, one hundred twenty-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 127 159 179 212 254 318 358 381 477 508 537 636 716 762 954 1074 1143 1431 1524 1611 1908 2148 2286 2862 3222 3429 4572 4833 5724 6444 6731 6858 9487 9666 13462 13716 18974 19332 20193 22733 26924 28461 37948 40386 45466 56922 60579 68199 80772 85383 90932 113844 121158 136398 170766 181737 204597 242316 256149 272796 341532 363474 409194 512298 613791 726948 818388 1024596 1204849 1227582 2409698 2455164 3614547 4819396 7229094 10843641 14458188 21687282 32530923 43374564 65061846 130123692