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140593920 = 2835194147
BaseRepresentation
bin10000110000101…
…00101100000000
3100210112220121020
420120110230000
5241443001140
621541225440
73325012545
oct1030245400
9323486536
10140593920
11723a8325
123b102280
132318778c
141495abcc
15c5226d0
hex8614b00

140593920 has 288 divisors, whose sum is σ = 494484480. Its totient is φ = 33914880.

The previous prime is 140593903. The next prime is 140593933. The reversal of 140593920 is 29395041.

140593920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2991337 + ... + 2991383.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2140593920 is an apocalyptic number.

140593920 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 140593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

140593920 is an abundant number, since it is smaller than the sum of its proper divisors (353890560).

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

140593920 is a wasteful number, since it uses less digits than its factorization.

140593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 140593920 is about 11857.2307053544. The cubic root of 140593920 is about 519.9826424186.

The spelling of 140593920 in words is "one hundred forty million, five hundred ninety-three thousand, nine hundred twenty".