Search a number
-
+
15136056 = 233213103157
BaseRepresentation
bin111001101111…
…010100111000
31001110222202200
4321233110320
512333323211
61300230200
7242440305
oct71572470
931428680
1015136056
1185a8a41
12509b360
13319c560
1420200ac
1514deb56
hexe6f538

15136056 has 96 divisors (see below), whose sum is σ = 44859360. Its totient is φ = 4582656.

The previous prime is 15136049. The next prime is 15136063. The reversal of 15136056 is 65063151.

It is a happy number.

15136056 is a `hidden beast` number, since 1 + 51 + 3 + 605 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (15136049) and next prime (15136063).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96330 + ... + 96486.

It is an arithmetic number, because the mean of its divisors is an integer number (467285).

Almost surely, 215136056 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 15136056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22429680).

15136056 is an abundant number, since it is smaller than the sum of its proper divisors (29723304).

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

15136056 is a wasteful number, since it uses less digits than its factorization.

15136056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 15136056 is about 3890.5084500615. The cubic root of 15136056 is about 247.3646152743.

It can be divided in two parts, 1513 and 6056, that added together give a square (7569 = 872).

The spelling of 15136056 in words is "fifteen million, one hundred thirty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 103 104 117 156 157 206 234 309 312 314 412 468 471 618 628 824 927 936 942 1236 1256 1339 1413 1854 1884 2041 2472 2678 2826 3708 3768 4017 4082 5356 5652 6123 7416 8034 8164 10712 11304 12051 12246 16068 16171 16328 18369 24102 24492 32136 32342 36738 48204 48513 48984 64684 73476 96408 97026 129368 145539 146952 194052 210223 291078 388104 420446 582156 630669 840892 1164312 1261338 1681784 1892007 2522676 3784014 5045352 7568028 15136056