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57150 = 23252127
BaseRepresentation
bin1101111100111110
32220101200
431330332
53312100
61120330
7325422
oct157476
986350
1057150
1139a35
12290a6
1320022
1416b82
1511e00
hexdf3e

57150 has 36 divisors (see below), whose sum is σ = 154752. Its totient is φ = 15120.

The previous prime is 57149. The next prime is 57163. The reversal of 57150 is 5175.

It is a happy number.

It is a super-2 number, since 2×571502 = 6532245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387 + ... + 513.

257150 is an apocalyptic number.

57150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376).

57150 is an abundant number, since it is smaller than the sum of its proper divisors (97602).

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

57150 is a wasteful number, since it uses less digits than its factorization.

57150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 57150 is about 239.0606617576. The cubic root of 57150 is about 38.5187405249.

The spelling of 57150 in words is "fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 127 150 225 254 381 450 635 762 1143 1270 1905 2286 3175 3810 5715 6350 9525 11430 19050 28575 57150