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87240 = 2335727
BaseRepresentation
bin10101010011001000
311102200010
4111103020
510242430
61511520
7512226
oct252310
9142603
1087240
115a5aa
12425a0
133092a
1423b16
151acb0
hex154c8

87240 has 32 divisors (see below), whose sum is σ = 262080. Its totient is φ = 23232.

The previous prime is 87223. The next prime is 87251. The reversal of 87240 is 4278.

It is a happy number.

It is a super-2 number, since 2×872402 = 15221635200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

287240 is an apocalyptic number.

It is an amenable number.

87240 is an abundant number, since it is smaller than the sum of its proper divisors (174840).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

87240 is a wasteful number, since it uses less digits than its factorization.

87240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 87240 is about 295.3641819856. The cubic root of 87240 is about 44.3511840728.

The spelling of 87240 in words is "eighty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 727 1454 2181 2908 3635 4362 5816 7270 8724 10905 14540 17448 21810 29080 43620 87240