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87156 = 2234269
BaseRepresentation
bin10101010001110100
311102120000
4111101310
510242111
61511300
7512046
oct252164
9142500
1087156
115a533
1242530
1330894
1423a96
151ac56
hex15474

87156 has 30 divisors (see below), whose sum is σ = 228690. Its totient is φ = 28944.

The previous prime is 87151. The next prime is 87179. The reversal of 87156 is 65178.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 32400 = 234^2 + 180^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87156.

It is not an unprimeable number, because it can be changed into a prime (87151) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 190 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (7623).

287156 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 87156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114345).

87156 is an abundant number, since it is smaller than the sum of its proper divisors (141534).

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

87156 is a wasteful number, since it uses less digits than its factorization.

87156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 87156 is about 295.2219504034. The cubic root of 87156 is about 44.3369448255.

It can be divided in two parts, 87 and 156, that added together give a 5-th power (243 = 35).

The spelling of 87156 in words is "eighty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 269 324 538 807 1076 1614 2421 3228 4842 7263 9684 14526 21789 29052 43578 87156