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57128136 = 233131923419
BaseRepresentation
bin1101100111101…
…1010011001000
310222111102001220
43121323103020
5104111100021
65400242040
71262403222
oct331732310
9128442056
1057128136
112a27a23a
1217170320
13bab2a40
147831412
155036cc6
hex367b4c8

57128136 has 128 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 15890688.

The previous prime is 57128087. The next prime is 57128161. The reversal of 57128136 is 63182175.

It is a junction number, because it is equal to n+sod(n) for n = 57128097 and 57128106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136135 + ... + 136553.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 257128136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57128136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

57128136 is an abundant number, since it is smaller than the sum of its proper divisors (112215864).

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

57128136 is a wasteful number, since it uses less digits than its factorization.

57128136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 57128136 is about 7558.3156853892. The cubic root of 57128136 is about 385.1382783217.

The spelling of 57128136 in words is "fifty-seven million, one hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 19 23 24 26 38 39 46 52 57 69 76 78 92 104 114 138 152 156 184 228 247 276 299 312 419 437 456 494 552 598 741 838 874 897 988 1196 1257 1311 1482 1676 1748 1794 1976 2392 2514 2622 2964 3352 3496 3588 5028 5244 5447 5681 5928 7176 7961 9637 10056 10488 10894 11362 15922 16341 17043 19274 21788 22724 23883 28911 31844 32682 34086 38548 43576 45448 47766 57822 63688 65364 68172 77096 95532 103493 115644 125281 130728 136344 183103 191064 206986 231288 250562 310479 366206 375843 413972 501124 549309 620958 732412 751686 827944 1002248 1098618 1241916 1464824 1503372 2197236 2380339 2483832 3006744 4394472 4760678 7141017 9521356 14282034 19042712 28564068 57128136