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87054 = 23111319
BaseRepresentation
bin10101010000001110
311102102020
4111100032
510241204
61511010
7511542
oct252016
9142366
1087054
115a450
1242466
1330816
1423a22
151abd9
hex1540e

87054 has 16 divisors (see below), whose sum is σ = 190080. Its totient is φ = 26360.

The previous prime is 87049. The next prime is 87071. The reversal of 87054 is 45078.

Adding to 87054 its sum of digits (24), we get a palindrome (87078).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

87054 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 594 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

287054 is an apocalyptic number.

87054 is an abundant number, since it is smaller than the sum of its proper divisors (103026).

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 (95040).

87054 is a wasteful number, since it uses less digits than its factorization.

87054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 87054 is about 295.0491484482. The cubic root of 87054 is about 44.3196420056.

The spelling of 87054 in words is "eighty-seven thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 1319 2638 3957 7914 14509 29018 43527 87054