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140017680 = 24335117183
BaseRepresentation
bin10000101100010…
…00000000010000
3100202110122011000
420112020000100
5241321031210
621521022000
73320062545
oct1026100020
9322418130
10140017680
11720443a0
123aa84900
13230153ca
141484abcc
15c45bac0
hex8588010

140017680 has 320 divisors, whose sum is σ = 539965440. Its totient is φ = 33062400.

The previous prime is 140017667. The next prime is 140017693. The reversal of 140017680 is 86710041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140017667) and next prime (140017693).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686919 + ... + 1687001.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2140017680 is an apocalyptic number.

140017680 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 140017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

140017680 is an abundant number, since it is smaller than the sum of its proper divisors (399947760).

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

140017680 is a wasteful number, since it uses less digits than its factorization.

140017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 140017680 is about 11832.9066589744. The cubic root of 140017680 is about 519.2712671926.

The spelling of 140017680 in words is "one hundred forty million, seventeen thousand, six hundred eighty".