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140364540 = 223255913217
BaseRepresentation
bin10000101110111…
…00101011111100
3100210010020221200
420113130223330
5241413131130
621532255500
73323036031
oct1027345374
9323106850
10140364540
1172260a58
123b011590
1323107254
14148db388
15c4c9760
hex85dcafc

140364540 has 72 divisors (see below), whose sum is σ = 433021680. Its totient is φ = 36793344.

The previous prime is 140364527. The next prime is 140364541. The reversal of 140364540 is 45463041.

140364540 is a `hidden beast` number, since 14 + 0 + 3 + 645 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140364541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4012 + ... + 17228.

It is an arithmetic number, because the mean of its divisors is an integer number (6014190).

Almost surely, 2140364540 is an apocalyptic number.

140364540 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 140364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216510840).

140364540 is an abundant number, since it is smaller than the sum of its proper divisors (292657140).

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

140364540 is a wasteful number, since it uses less digits than its factorization.

140364540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291 (or 13286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 140364540 is about 11847.5541779728. The cubic root of 140364540 is about 519.6997033398.

The spelling of 140364540 in words is "one hundred forty million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 13217 26434 39651 52868 66085 79302 118953 132170 158604 198255 237906 264340 396510 475812 594765 779803 793020 1189530 1559606 2339409 2379060 3119212 3899015 4678818 7018227 7798030 9357636 11697045 14036454 15596060 23394090 28072908 35091135 46788180 70182270 140364540