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140564736 = 2832132192
BaseRepresentation
bin10000110000011…
…01100100000000
3100210111102120100
420120031210000
5241441032421
621540442400
73324531504
oct1030154400
9323442510
10140564736
1172388404
123b0a9400
1323177400
1414950304
15c518c26
hex860d900

140564736 has 243 divisors, whose sum is σ = 463169889. Its totient is φ = 40974336.

The previous prime is 140564729. The next prime is 140564747. The reversal of 140564736 is 637465041.

It is a happy number.

The square root of 140564736 is 11856.

It is a perfect power (a square), and thus also a powerful number.

140564736 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 647 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20793600 + 119771136 = 4560^2 + 10944^2 .

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 140564736.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7398135 + ... + 7398153.

Almost surely, 2140564736 is an apocalyptic number.

140564736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140564736 is the 11856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140564736

140564736 is an abundant number, since it is smaller than the sum of its proper divisors (322605153).

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

140564736 is a wasteful number, since it uses less digits than its factorization.

140564736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 140564736 is about 519.9466611956.

Multiplying 140564736 by its sum of digits (36), we get a square (5060330496 = 711362).

140564736 divided by its sum of digits (36) gives a square (3904576 = 19762).

The spelling of 140564736 in words is "one hundred forty million, five hundred sixty-four thousand, seven hundred thirty-six".