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130910688 = 2533151517
BaseRepresentation
bin1111100110110…
…00100111100000
3100010022221201000
413303120213200
5232003120223
620553512000
73146502546
oct763304740
9303287630
10130910688
1167994157
1237a12600
132117715c
1413559d96
15b75d543
hex7cd89e0

130910688 has 48 divisors (see below), whose sum is σ = 381825360. Its totient is φ = 43636608.

The previous prime is 130910677. The next prime is 130910701. The reversal of 130910688 is 886019031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 74895 + ... + 76622.

It is an arithmetic number, because the mean of its divisors is an integer number (7954695).

Almost surely, 2130910688 is an apocalyptic number.

130910688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130910688 is an abundant number, since it is smaller than the sum of its proper divisors (250914672).

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

130910688 is a wasteful number, since it uses less digits than its factorization.

130910688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151536 (or 151522 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 130910688 is about 11441.6208641958. The cubic root of 130910688 is about 507.7598633562.

The spelling of 130910688 in words is "one hundred thirty million, nine hundred ten thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 151517 303034 454551 606068 909102 1212136 1363653 1818204 2424272 2727306 3636408 4090959 4848544 5454612 7272816 8181918 10909224 14545632 16363836 21818448 32727672 43636896 65455344 130910688