Search a number
-
+
531161136 = 243211973457
BaseRepresentation
bin11111101010001…
…110000000110000
31101000110210002200
4133222032000300
52041434124021
6124412343200
716106536512
oct3752160060
91330423080
10531161136
11252910250
12129a74b00
138607573c
1450787bb2
1531971126
hex1fa8e030

531161136 has 120 divisors (see below), whose sum is σ = 1638843024. Its totient is φ = 159252480.

The previous prime is 531161123. The next prime is 531161143. The reversal of 531161136 is 631161135.

531161136 is a `hidden beast` number, since 5 + 3 + 11 + 611 + 36 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151920 + ... + 155376.

Almost surely, 2531161136 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 531161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819421512).

531161136 is an abundant number, since it is smaller than the sum of its proper divisors (1107681888).

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

531161136 is a wasteful number, since it uses less digits than its factorization.

531161136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3570 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 531161136 is about 23046.9333317906. The cubic root of 531161136 is about 809.8577893913.

Subtracting 531161136 from its reverse (631161135), we obtain a palindrome (99999999).

The spelling of 531161136 in words is "five hundred thirty-one million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 97 99 132 144 176 194 198 264 291 388 396 528 582 776 792 873 1067 1164 1552 1584 1746 2134 2328 3201 3457 3492 4268 4656 6402 6914 6984 8536 9603 10371 12804 13828 13968 17072 19206 20742 25608 27656 31113 38027 38412 41484 51216 55312 62226 76054 76824 82968 114081 124452 152108 153648 165936 228162 248904 304216 335329 342243 456324 497808 608432 670658 684486 912648 1005987 1341316 1368972 1825296 2011974 2682632 2737944 3017961 3688619 4023948 5365264 5475888 6035922 7377238 8047896 11065857 12071844 14754476 16095792 22131714 24143688 29508952 33197571 44263428 48287376 59017904 66395142 88526856 132790284 177053712 265580568 531161136