Search a number
-
+
8012136 = 2331123189
BaseRepresentation
bin11110100100000101101000
3120002001120210
4132210011220
54022342021
6443421120
7125046666
oct36440550
916061523
108012136
114582700
1228247a0
131876b12
1410c7c36
15a83e76
hex7a4168

8012136 has 96 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2323200.

The previous prime is 8012131. The next prime is 8012143. The reversal of 8012136 is 6312108.

It is not an unprimeable number, because it can be changed into a prime (8012131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89980 + ... + 90068.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 28012136 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 8012136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

8012136 is an abundant number, since it is smaller than the sum of its proper divisors (14970264).

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

8012136 is a wasteful number, since it uses less digits than its factorization.

8012136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8012136 is about 2830.5716737083. The cubic root of 8012136 is about 200.1010822366.

The spelling of 8012136 in words is "eight million, twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 89 93 121 124 132 178 186 242 248 264 267 341 356 363 372 484 534 682 712 726 744 968 979 1023 1068 1364 1452 1958 2046 2136 2728 2759 2904 2937 3751 3916 4092 5518 5874 7502 7832 8184 8277 10769 11036 11253 11748 15004 16554 21538 22072 22506 23496 30008 30349 32307 33108 43076 45012 60698 64614 66216 86152 90024 91047 121396 129228 182094 242792 258456 333839 364188 667678 728376 1001517 1335356 2003034 2670712 4006068 8012136