Search a number
-
+
81560232 = 233213791103
BaseRepresentation
bin1001101110010…
…00001010101000
312200110200121100
410313020022220
5131334411412
612032041400
72010151635
oct467101250
9180420540
1081560232
1142047456
1223393260
1313b885c0
14ab9118c
157260edc
hex4dc82a8

81560232 has 96 divisors (see below), whose sum is σ = 241113600. Its totient is φ = 24755328.

The previous prime is 81560201. The next prime is 81560249. The reversal of 81560232 is 23206518.

81560232 is a `hidden beast` number, since 81 + 560 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81560196 and 81560205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73393 + ... + 74495.

It is an arithmetic number, because the mean of its divisors is an integer number (2511600).

Almost surely, 281560232 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 81560232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120556800).

81560232 is an abundant number, since it is smaller than the sum of its proper divisors (159553368).

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

81560232 is a wasteful number, since it uses less digits than its factorization.

81560232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 81560232 is about 9031.0703684558. The cubic root of 81560232 is about 433.6701040184.

The spelling of 81560232 in words is "eighty-one million, five hundred sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 711 936 948 1027 1103 1422 1896 2054 2206 2844 3081 3309 4108 4412 5688 6162 6618 8216 8824 9243 9927 12324 13236 14339 18486 19854 24648 26472 28678 36972 39708 43017 57356 73944 79416 86034 87137 114712 129051 172068 174274 258102 261411 344136 348548 516204 522822 697096 784233 1032408 1045644 1132781 1568466 2091288 2265562 3136932 3398343 4531124 6273864 6796686 9062248 10195029 13593372 20390058 27186744 40780116 81560232