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189993870 = 233511175371
BaseRepresentation
bin10110101001100…
…01001110001110
3111020111200121000
423110301032032
5342114300440
630504121130
74464630663
oct1324611616
9436450530
10189993870
1198279230
12537661a6
1330492a11
141b339a6a
1511a2e730
hexb53138e

189993870 has 256 divisors, whose sum is σ = 604661760. Its totient is φ = 41932800.

The previous prime is 189993841. The next prime is 189993883. The reversal of 189993870 is 78399981.

189993870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2675935 + ... + 2676005.

It is an arithmetic number, because the mean of its divisors is an integer number (2361960).

Almost surely, 2189993870 is an apocalyptic number.

189993870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189993870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302330880).

189993870 is an abundant number, since it is smaller than the sum of its proper divisors (414667890).

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

189993870 is a wasteful number, since it uses less digits than its factorization.

189993870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 189993870 is about 13783.8263918260. The cubic root of 189993870 is about 574.8835252422.

The spelling of 189993870 in words is "one hundred eighty-nine million, nine hundred ninety-three thousand, eight hundred seventy".