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140162688 = 2732172421
BaseRepresentation
bin10000101101010…
…11011010000000
3100202202000001200
420112223122000
5241340201223
621524101200
73321235401
oct1026533200
9322660050
10140162688
1172133336
123ab34800
1323066403
14148879a8
15c489a43
hex85ab680

140162688 has 144 divisors (see below), whose sum is σ = 429471510. Its totient is φ = 43868160.

The previous prime is 140162683. The next prime is 140162699. The reversal of 140162688 is 886261041.

It can be written as a sum of positive squares in 3 ways, for example, as 113039424 + 27123264 = 10632^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140162683) 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 17 ways as a sum of consecutive naturals, for example, 332718 + ... + 333138.

Almost surely, 2140162688 is an apocalyptic number.

140162688 is a gapful number since it is divisible by the number (18) 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 140162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214735755).

140162688 is an abundant number, since it is smaller than the sum of its proper divisors (289308822).

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

140162688 is a wasteful number, since it uses less digits than its factorization.

140162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 140162688 is about 11839.0323928943. The cubic root of 140162688 is about 519.4504648216.

The spelling of 140162688 in words is "one hundred forty million, one hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 289 306 384 408 421 544 576 578 612 816 842 867 1088 1152 1156 1224 1263 1632 1684 1734 2176 2312 2448 2526 2601 3264 3368 3468 3789 4624 4896 5052 5202 6528 6736 6936 7157 7578 9248 9792 10104 10404 13472 13872 14314 15156 18496 19584 20208 20808 21471 26944 27744 28628 30312 36992 40416 41616 42942 53888 55488 57256 60624 64413 80832 83232 85884 110976 114512 121248 121669 128826 161664 166464 171768 229024 242496 243338 257652 332928 343536 365007 458048 484992 486676 515304 687072 730014 916096 973352 1030608 1095021 1374144 1460028 1946704 2061216 2190042 2748288 2920056 3893408 4122432 4380084 5840112 7786816 8244864 8760168 11680224 15573632 17520336 23360448 35040672 46720896 70081344 140162688