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87361092 = 22347132963
BaseRepresentation
bin1010011010100…
…00011001000100
320002101101220000
411031100121010
5134331023332
612400241300
72110362030
oct515203104
9202341800
1087361092
1145349755
1225310230
1315139a70
14b8611c0
157a09b7c
hex5350644

87361092 has 120 divisors (see below), whose sum is σ = 281176896. Its totient is φ = 23032512.

The previous prime is 87361073. The next prime is 87361093. The reversal of 87361092 is 29016378.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (87361093) 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, 28003 + ... + 30965.

Almost surely, 287361092 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 87361092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140588448).

87361092 is an abundant number, since it is smaller than the sum of its proper divisors (193815804).

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

87361092 is a wasteful number, since it uses less digits than its factorization.

87361092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 87361092 is about 9346.7155728630. The cubic root of 87361092 is about 443.7169488840.

The spelling of 87361092 in words is "eighty-seven million, three hundred sixty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 2963 3276 4212 4914 5926 7371 8889 9828 11852 14742 17778 20741 26667 29484 35556 38519 41482 53334 62223 77038 80001 82964 106668 115557 124446 154076 160002 186669 231114 240003 248892 269633 320004 346671 373338 462228 480006 539266 560007 693342 746676 808899 960012 1040013 1078532 1120014 1386684 1617798 1680021 2080026 2240028 2426697 3120039 3235596 3360042 4160052 4853394 6240078 6720084 7280091 9706788 12480156 14560182 21840273 29120364 43680546 87361092