[go: up one dir, main page]

Search a number
-
+
57116070 = 23351119231
BaseRepresentation
bin1101100111100…
…0010110100110
310222110210112000
43121320112212
5104110203240
65400110130
71262323104
oct331702646
9128423460
1057116070
112a271170
1217165346
13baaa3bb
14782ac74
155033430
hex36785a6

57116070 has 64 divisors (see below), whose sum is σ = 166164480. Its totient is φ = 13845600.

The previous prime is 57116063. The next prime is 57116089. The reversal of 57116070 is 7061175.

57116070 is a `hidden beast` number, since 57 + 1 + 1 + 607 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 6646 + ... + 12585.

It is an arithmetic number, because the mean of its divisors is an integer number (2596320).

Almost surely, 257116070 is an apocalyptic number.

57116070 is an abundant number, since it is smaller than the sum of its proper divisors (109048410).

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

57116070 is a wasteful number, since it uses less digits than its factorization.

57116070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19258 (or 19252 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 57116070 is about 7557.5174495333. The cubic root of 57116070 is about 385.1111614695. Note that the first 4 decimals are identical.

It can be divided in two parts, 5711 and 6070, that added together give a triangular number (11781 = T153).

The spelling of 57116070 in words is "fifty-seven million, one hundred sixteen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 19231 38462 57693 96155 115386 173079 192310 211541 288465 346158 423082 519237 576930 634623 865395 1038474 1057705 1269246 1730790 1903869 2115410 2596185 3173115 3807738 5192370 5711607 6346230 9519345 11423214 19038690 28558035 57116070