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140656164 = 2231117193299
BaseRepresentation
bin10000110001000…
…11111000100100
3100210200001222120
420120203320210
5242001444124
621542425540
73325362165
oct1030437044
9323601876
10140656164
1172440070
123b1322b0
13231a9bcc
141497576c
15c535d79
hex8623e24

140656164 has 96 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 37992960.

The previous prime is 140656163. The next prime is 140656169. The reversal of 140656164 is 461656041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (140656163) 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 31 ways as a sum of consecutive naturals, for example, 40987 + ... + 44285.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2140656164 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 140656164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

140656164 is an abundant number, since it is smaller than the sum of its proper divisors (258511836).

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

140656164 is a wasteful number, since it uses less digits than its factorization.

140656164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 140656164 is about 11859.8551424543. The cubic root of 140656164 is about 520.0593669892.

The spelling of 140656164 in words is "one hundred forty million, six hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2244 2508 3299 3553 3876 6598 7106 9897 10659 13196 14212 19794 21318 36289 39588 42636 56083 62681 72578 108867 112166 125362 145156 168249 188043 217734 224332 250724 336498 376086 435468 616913 672996 689491 752172 1065577 1233826 1378982 1850739 2068473 2131154 2467652 2757964 3196731 3701478 4136946 4262308 6393462 7402956 8273892 11721347 12786924 23442694 35164041 46885388 70328082 140656164