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140513364 = 223217439523
BaseRepresentation
bin10000110000000…
…01000001010100
3100210101211002200
420120001001110
5241432411424
621535404500
73324225645
oct1030010124
9323354080
10140513364
1172352852
123b083730
1323159c04
14149396cc
15c5088c9
hex8601054

140513364 has 72 divisors (see below), whose sum is σ = 377657280. Its totient is φ = 43898112.

The previous prime is 140513339. The next prime is 140513369. The reversal of 140513364 is 463315041.

140513364 is a `hidden beast` number, since 140 + 513 + 3 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140513369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268407 + ... + 268929.

It is an arithmetic number, because the mean of its divisors is an integer number (5245240).

Almost surely, 2140513364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140513364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188828640).

140513364 is an abundant number, since it is smaller than the sum of its proper divisors (237143916).

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

140513364 is a wasteful number, since it uses less digits than its factorization.

140513364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 140513364 is about 11853.8333040414. The cubic root of 140513364 is about 519.8833120815.

The spelling of 140513364 in words is "one hundred forty million, five hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 439 523 612 878 1046 1317 1569 1756 2092 2634 3138 3951 4707 5268 6276 7463 7902 8891 9414 14926 15804 17782 18828 22389 26673 29852 35564 44778 53346 67167 80019 89556 106692 134334 160038 229597 268668 320076 459194 688791 918388 1377582 2066373 2755164 3903149 4132746 7806298 8265492 11709447 15612596 23418894 35128341 46837788 70256682 140513364