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140597856 = 25377241
BaseRepresentation
bin10000110000101…
…01101001100000
3100210120010000000
420120111221200
5241443112411
621541300000
73325030200
oct1030255140
9323503000
10140597856
1172400283
123b104600
13231894c9
141495c400
15c523956
hex8615a60

140597856 has 288 divisors, whose sum is σ = 494696160. Its totient is φ = 39191040.

The previous prime is 140597851. The next prime is 140597857. The reversal of 140597856 is 658795041.

140597856 is a `hidden beast` number, since 1 + 4 + 0 + 597 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1405978562 = 39535514223593472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140597851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429196 + ... + 3429236.

It is an arithmetic number, because the mean of its divisors is an integer number (1717695).

Almost surely, 2140597856 is an apocalyptic number.

140597856 is a gapful number since it is divisible by the number (16) 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 140597856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247348080).

140597856 is an abundant number, since it is smaller than the sum of its proper divisors (354098304).

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

140597856 is an frugal number, since it uses more digits than its factorization.

140597856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 140597856 is about 11857.3966788667. The cubic root of 140597856 is about 519.9874947683.

The spelling of 140597856 in words is "one hundred forty million, five hundred ninety-seven thousand, eight hundred fifty-six".