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189534720 = 2935232937
BaseRepresentation
bin10110100110000…
…01001000000000
3111012122100202110
423103001020000
5342010102340
630450215320
74461006234
oct1323011000
9435570673
10189534720
1197a95271
1253584540
1330361a2b
141b25a5c4
151198d680
hexb4c1200

189534720 has 320 divisors, whose sum is σ = 671742720. Its totient is φ = 45416448.

The previous prime is 189534707. The next prime is 189534797. The reversal of 189534720 is 27435981.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5122542 + ... + 5122578.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2189534720 is an apocalyptic number.

189534720 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 189534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335871360).

189534720 is an abundant number, since it is smaller than the sum of its proper divisors (482208000).

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

189534720 is a wasteful number, since it uses less digits than its factorization.

189534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 189534720 is about 13767.1609273663. The cubic root of 189534720 is about 574.4200529411.

The spelling of 189534720 in words is "one hundred eighty-nine million, five hundred thirty-four thousand, seven hundred twenty".