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81054 = 2331979
BaseRepresentation
bin10011110010011110
311010012000
4103302132
510043204
61423130
7455211
oct236236
9133160
1081054
1155996
123aaa6
132ab7c
1421778
1519039
hex13c9e

81054 has 32 divisors (see below), whose sum is σ = 192000. Its totient is φ = 25272.

The previous prime is 81049. The next prime is 81071. The reversal of 81054 is 45018.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

81054 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

281054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000).

81054 is an abundant number, since it is smaller than the sum of its proper divisors (110946).

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

81054 is a wasteful number, since it uses less digits than its factorization.

81054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 81054 is about 284.6998419388. The cubic root of 81054 is about 43.2770999705.

The spelling of 81054 in words is "eighty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 114 158 171 237 342 474 513 711 1026 1422 1501 2133 3002 4266 4503 9006 13509 27018 40527 81054