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140308560 = 24325724197
BaseRepresentation
bin10000101110011…
…11000001010000
3100210000102011100
420113033001100
5241404333220
621531144400
73322413600
oct1027170120
9323012140
10140308560
1172222997
123aba5100
13230b7922
14148c4c00
15c4b7d90
hex85cf050

140308560 has 360 divisors, whose sum is σ = 567291816. Its totient is φ = 30965760.

The previous prime is 140308547. The next prime is 140308561. The reversal of 140308560 is 65803041.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 140280336 = 168^2 + 11844^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140308561) 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 71 ways as a sum of consecutive naturals, for example, 1446432 + ... + 1446528.

Almost surely, 2140308560 is an apocalyptic number.

140308560 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 140308560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283645908).

140308560 is an abundant number, since it is smaller than the sum of its proper divisors (426983256).

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

140308560 is a wasteful number, since it uses less digits than its factorization.

140308560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 140308560 is about 11845.1914294367. The cubic root of 140308560 is about 519.6306055040.

The spelling of 140308560 in words is "one hundred forty million, three hundred eight thousand, five hundred sixty".