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189423360 = 28365729
BaseRepresentation
bin10110100101001…
…01111100000000
3111012102201000000
423102211330000
5341443021420
630444000000
74460033460
oct1322457400
9435381000
10189423360
1197a19635
1253530000
1330323139
141b22bba0
151196a690
hexb4a5f00

189423360 has 504 divisors, whose sum is σ = 804273120. Its totient is φ = 41803776.

The previous prime is 189423343. The next prime is 189423371. The reversal of 189423360 is 63324981.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531826 + ... + 6531854.

It is an arithmetic number, because the mean of its divisors is an integer number (1595780).

Almost surely, 2189423360 is an apocalyptic number.

189423360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402136560).

189423360 is an abundant number, since it is smaller than the sum of its proper divisors (614849760).

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

189423360 is an frugal number, since it uses more digits than its factorization.

189423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 189423360 is about 13763.1159262719. The cubic root of 189423360 is about 574.3075318701.

The spelling of 189423360 in words is "one hundred eighty-nine million, four hundred twenty-three thousand, three hundred sixty".