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140950656 = 27327211227
BaseRepresentation
bin10000110011010…
…11110010000000
3100211020000221200
420121223302000
5242040410111
621553021200
73331026600
oct1031536200
9324200850
10140950656
1172621350
123b254800
1323280c72
1414a10c00
15c593256
hex866bc80

140950656 has 288 divisors, whose sum is σ = 516980880. Its totient is φ = 36449280.

The previous prime is 140950637. The next prime is 140950657. The reversal of 140950656 is 656059041.

140950656 is a `hidden beast` number, since 140 + 9 + 506 + 5 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140950656.

It is not an unprimeable number, because it can be changed into a prime (140950657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620815 + ... + 621041.

Almost surely, 2140950656 is an apocalyptic number.

140950656 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 140950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258490440).

140950656 is an abundant number, since it is smaller than the sum of its proper divisors (376030224).

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

140950656 is a wasteful number, since it uses less digits than its factorization.

140950656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 140950656 is about 11872.2641480048. The cubic root of 140950656 is about 520.4220636464.

The spelling of 140950656 in words is "one hundred forty million, nine hundred fifty thousand, six hundred fifty-six".