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73164 = 22371367
BaseRepresentation
bin10001110111001100
310201100210
4101313030
54320124
61322420
7423210
oct216714
9121323
1073164
114aa73
1236410
13273c0
141c940
1516a29
hex11dcc

73164 has 48 divisors (see below), whose sum is σ = 213248. Its totient is φ = 19008.

The previous prime is 73141. The next prime is 73181. The reversal of 73164 is 46137.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 73164.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73164.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059 + ... + 1125.

273164 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 73164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106624).

73164 is an abundant number, since it is smaller than the sum of its proper divisors (140084).

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

73164 is a wasteful number, since it uses less digits than its factorization.

73164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 73164 is about 270.4884470731. The cubic root of 73164 is about 41.8246658904.

The spelling of 73164 in words is "seventy-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 182 201 268 273 364 402 469 546 804 871 938 1092 1407 1742 1876 2613 2814 3484 5226 5628 6097 10452 12194 18291 24388 36582 73164