Search a number
-
+
87470604 = 223413191093
BaseRepresentation
bin1010011011010…
…11001000001100
320002120222010000
411031223020030
5134343024404
612402444300
72111326224
oct515531014
9202528100
1087470604
1145413a61
1225363690
1315177870
14b88d084
157a2c339
hex536b20c

87470604 has 120 divisors (see below), whose sum is σ = 259453040. Its totient is φ = 25474176.

The previous prime is 87470569. The next prime is 87470609. The reversal of 87470604 is 40607478.

It is a happy number.

87470604 is a `hidden beast` number, since 8 + 7 + 47 + 0 + 604 = 666.

It is a super-2 number, since 2×874706042 = 15302213128249632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (87470609) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79482 + ... + 80574.

Almost surely, 287470604 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 87470604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129726520).

87470604 is an abundant number, since it is smaller than the sum of its proper divisors (171982436).

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

87470604 is a wasteful number, since it uses less digits than its factorization.

87470604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87470604 is about 9352.5720526495. The cubic root of 87470604 is about 443.9022794437.

The spelling of 87470604 in words is "eighty-seven million, four hundred seventy thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1093 1404 1482 1539 2052 2106 2186 2223 2964 3078 3279 4212 4372 4446 6156 6558 6669 8892 9837 13116 13338 14209 19674 20007 20767 26676 28418 29511 39348 40014 41534 42627 56836 59022 62301 80028 83068 85254 88533 118044 124602 127881 170508 177066 186903 249204 255762 269971 354132 373806 383643 511524 539942 560709 747612 767286 809913 1079884 1121418 1150929 1534572 1619826 1682127 2242836 2301858 2429739 3239652 3364254 4603716 4859478 6728508 7289217 9718956 14578434 21867651 29156868 43735302 87470604