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130587920 = 2458918341
BaseRepresentation
bin1111100100010…
…01110100010000
3100002201112221122
413302021310100
5231412303140
620542541412
73143656541
oct762116420
9302645848
10130587920
1167793701
1237897868
1321093278
14134b44c8
15b6e7ab5
hex7c89d10

130587920 has 40 divisors (see below), whose sum is σ = 307045080. Its totient is φ = 51645440.

The previous prime is 130587917. The next prime is 130587923. The reversal of 130587920 is 29785031.

It is an interprime number because it is at equal distance from previous prime (130587917) and next prime (130587923).

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 129868816 = 848^2 + 11396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130587923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2051 + ... + 16290.

It is an arithmetic number, because the mean of its divisors is an integer number (7676127).

Almost surely, 2130587920 is an apocalyptic number.

130587920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130587920 is an abundant number, since it is smaller than the sum of its proper divisors (176457160).

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

130587920 is a wasteful number, since it uses less digits than its factorization.

130587920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18443 (or 18437 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 130587920 is about 11427.5071647319. The cubic root of 130587920 is about 507.3422159885.

The spelling of 130587920 in words is "one hundred thirty million, five hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 18341 36682 73364 91705 146728 183410 293456 366820 733640 1467280 1632349 3264698 6529396 8161745 13058792 16323490 26117584 32646980 65293960 130587920