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130757610 = 23541106307
BaseRepresentation
bin1111100101100…
…11001111101010
3100010001011201110
413302303033222
5231433220420
620550331150
73145264344
oct762631752
9303034643
10130757610
116789a145
1237959ab6
1321122589
141351a294
15b72cee0
hex7cb33ea

130757610 has 32 divisors (see below), whose sum is σ = 321475392. Its totient is φ = 34017920.

The previous prime is 130757567. The next prime is 130757633. The reversal of 130757610 is 16757031.

It is a super-3 number, since 3×1307576103 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51924 + ... + 54383.

It is an arithmetic number, because the mean of its divisors is an integer number (10046106).

Almost surely, 2130757610 is an apocalyptic number.

130757610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130757610 is an abundant number, since it is smaller than the sum of its proper divisors (190717782).

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

130757610 is a wasteful number, since it uses less digits than its factorization.

130757610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106358.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 130757610 is about 11434.9293832538. The cubic root of 130757610 is about 507.5618729517.

The spelling of 130757610 in words is "one hundred thirty million, seven hundred fifty-seven thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 106307 212614 318921 531535 637842 1063070 1594605 3189210 4358587 8717174 13075761 21792935 26151522 43585870 65378805 130757610