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189383040 = 27325721161
BaseRepresentation
bin10110100100111…
…00000110000000
3111012100122200200
423102130012000
5341440224130
630443045200
74456505100
oct1322340600
9435318620
10189383040
11979a1310
1253510800
133030a992
141b21b200
151195d760
hexb49c180

189383040 has 576 divisors, whose sum is σ = 843495120. Its totient is φ = 38707200.

The previous prime is 189383039. The next prime is 189383063. The reversal of 189383040 is 40383981.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 189382986 and 189383004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3104610 + ... + 3104670.

Almost surely, 2189383040 is an apocalyptic number.

189383040 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 189383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421747560).

189383040 is an abundant number, since it is smaller than the sum of its proper divisors (654112080).

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

189383040 is a wasteful number, since it uses less digits than its factorization.

189383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 189383040 is about 13761.6510637350. The cubic root of 189383040 is about 574.2667806082.

The spelling of 189383040 in words is "one hundred eighty-nine million, three hundred eighty-three thousand, forty".