Search a number
-
+
138257064 = 23331158189
BaseRepresentation
bin10000011110110…
…10001010101000
3100122011012001000
420033122022220
5240343211224
621415155000
73266110551
oct1017321250
9318135030
10138257064
1171051640
123a375a60
1322849c1a
141450d328
15c2100c9
hex83da2a8

138257064 has 64 divisors (see below), whose sum is σ = 418968000. Its totient is φ = 41895360.

The previous prime is 138257059. The next prime is 138257087. The reversal of 138257064 is 460752831.

138257064 is a `hidden beast` number, since 1 + 3 + 82 + 570 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26719 + ... + 31470.

It is an arithmetic number, because the mean of its divisors is an integer number (6546375).

Almost surely, 2138257064 is an apocalyptic number.

It is an amenable number.

138257064 is an abundant number, since it is smaller than the sum of its proper divisors (280710936).

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

138257064 is a wasteful number, since it uses less digits than its factorization.

138257064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58215 (or 58205 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 138257064 is about 11758.2764043035. The cubic root of 138257064 is about 517.0855997749.

The spelling of 138257064 in words is "one hundred thirty-eight million, two hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 58189 116378 174567 232756 349134 465512 523701 640079 698268 1047402 1280158 1396536 1571103 1920237 2094804 2560316 3142206 3840474 4189608 5120632 5760711 6284412 7680948 11521422 12568824 15361896 17282133 23042844 34564266 46085688 69128532 138257064