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140593432 = 23731109743
BaseRepresentation
bin10000110000101…
…00100100011000
3100210112212221011
420120110210120
5241442442212
621541223304
73325011250
oct1030244430
9323485834
10140593432
11723a7a21
123b101b34
13231874a5
141495a960
15c5224a7
hex8614918

140593432 has 64 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 57697920.

The previous prime is 140593393. The next prime is 140593433. The reversal of 140593432 is 234395041.

It is a super-4 number, since 4×1405934324 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 140593394 and 140593403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140593433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188853 + ... + 189595.

It is an arithmetic number, because the mean of its divisors is an integer number (4910400).

Almost surely, 2140593432 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 140593432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

140593432 is an abundant number, since it is smaller than the sum of its proper divisors (173672168).

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

140593432 is a wasteful number, since it uses less digits than its factorization.

140593432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 140593432 is about 11857.2101271758. The cubic root of 140593432 is about 519.9820407999.

The spelling of 140593432 in words is "one hundred forty million, five hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 109 124 217 218 248 434 436 743 763 868 872 1486 1526 1736 2972 3052 3379 5201 5944 6104 6758 10402 13516 20804 23033 23653 27032 41608 46066 47306 80987 92132 94612 161231 161974 184264 189224 322462 323948 566909 644924 647896 1133818 1289848 2267636 2510597 4535272 5021194 10042388 17574179 20084776 35148358 70296716 140593432