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140110960 = 245111131409
BaseRepresentation
bin10000101100111…
…10110001110000
3100202122101002211
420112132301300
5241332022320
621523021504
73320631523
oct1026366160
9322571084
10140110960
11720a8490
123ab0a894
13230489c2
1414872bba
15c47955a
hex859ec70

140110960 has 80 divisors (see below), whose sum is σ = 358771680. Its totient is φ = 50462720.

The previous prime is 140110951. The next prime is 140111011. The reversal of 140110960 is 69011041.

140110960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1401109602 = 39262162224243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98736 + ... + 100144.

It is an arithmetic number, because the mean of its divisors is an integer number (4484646).

Almost surely, 2140110960 is an apocalyptic number.

140110960 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 140110960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179385840).

140110960 is an abundant number, since it is smaller than the sum of its proper divisors (218660720).

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

140110960 is a wasteful number, since it uses less digits than its factorization.

140110960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 140110960 is about 11836.8475532973. The cubic root of 140110960 is about 519.3865547082.

The spelling of 140110960 in words is "one hundred forty million, one hundred ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 880 904 1130 1243 1409 1808 2260 2486 2818 4520 4972 5636 6215 7045 9040 9944 11272 12430 14090 15499 19888 22544 24860 28180 30998 49720 56360 61996 77495 99440 112720 123992 154990 159217 247984 309980 318434 619960 636868 796085 1239920 1273736 1592170 1751387 2547472 3184340 3502774 6368680 7005548 8756935 12737360 14011096 17513870 28022192 35027740 70055480 140110960