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140535648 = 2535113153
BaseRepresentation
bin10000110000001…
…10011101100000
3100210102221200000
420120012131200
5241434120043
621540100000
73324350631
oct1030063540
9323387600
10140535648
1172368570
123b094600
13231670b6
1414943888
15c5102d3
hex8606760

140535648 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 40435200.

The previous prime is 140535641. The next prime is 140535667. The reversal of 140535648 is 846535041.

It is a happy number.

140535648 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 3 + 5 + 648 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (140535641) 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, 2651590 + ... + 2651642.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2140535648 is an apocalyptic number.

140535648 is a gapful number since it is divisible by the number (18) 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 140535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

140535648 is an abundant number, since it is smaller than the sum of its proper divisors (334982304).

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

140535648 is a wasteful number, since it uses less digits than its factorization.

140535648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 140535648 is about 11854.7732158823. The cubic root of 140535648 is about 519.9107933759.

It can be divided in two parts, 14053 and 5648, that added together give a triangular number (19701 = T198).

The spelling of 140535648 in words is "one hundred forty million, five hundred thirty-five thousand, six hundred forty-eight".