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130757160 = 23356117863
BaseRepresentation
bin1111100101100…
…11001000101000
3100010001011002210
413302303020220
5231433212120
620550325120
73145263132
oct762631050
9303034083
10130757160
1167899876
12379597a0
1321122301
141351a052
15b72cce0
hex7cb3228

130757160 has 64 divisors (see below), whose sum is σ = 398724480. Its totient is φ = 34295040.

The previous prime is 130757153. The next prime is 130757167. The reversal of 130757160 is 61757031.

130757160 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (130757153) and next prime (130757167).

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

It is not an unprimeable number, because it can be changed into a prime (130757167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (6230070).

Almost surely, 2130757160 is an apocalyptic number.

130757160 is a gapful number since it is divisible by the number (10) 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 130757160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199362240).

130757160 is an abundant number, since it is smaller than the sum of its proper divisors (267967320).

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

130757160 is a wasteful number, since it uses less digits than its factorization.

130757160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17938 (or 17934 counting only the distinct ones).

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

The square root of 130757160 is about 11434.9097066833. The cubic root of 130757160 is about 507.5612906959.

The spelling of 130757160 in words is "one hundred thirty million, seven hundred fifty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 17863 35726 53589 71452 89315 107178 142904 178630 214356 267945 357260 428712 535890 714520 1071780 1089643 2143560 2179286 3268929 4358572 5448215 6537858 8717144 10896430 13075716 16344645 21792860 26151432 32689290 43585720 65378580 130757160