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140912640 = 21132511139
BaseRepresentation
bin10000110011000…
…10100000000000
3100211011002210200
420121202200000
5242033201030
621552125200
73330511011
oct1031424000
9324132720
10140912640
11725a5830
123b236800
132326987b
1414a01008
15c586d60
hex8662800

140912640 has 288 divisors, whose sum is σ = 536608800. Its totient is φ = 33914880.

The previous prime is 140912621. The next prime is 140912657. The reversal of 140912640 is 46219041.

140912640 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 12 + 640 = 666.

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

It is a super-2 number, since 2×1409126402 = 39712744223539200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013691 + ... + 1013829.

It is an arithmetic number, because the mean of its divisors is an integer number (1863225).

Almost surely, 2140912640 is an apocalyptic number.

140912640 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 140912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268304400).

140912640 is an abundant number, since it is smaller than the sum of its proper divisors (395696160).

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

140912640 is a wasteful number, since it uses less digits than its factorization.

140912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 140912640 is about 11870.6629974909. The cubic root of 140912640 is about 520.3752715167.

The spelling of 140912640 in words is "one hundred forty million, nine hundred twelve thousand, six hundred forty".