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140844160 = 275312229
BaseRepresentation
bin10000110010100…
…01110010000000
3100211000121212101
420121101302000
5242024003120
621550440144
73330104242
oct1031216200
9324017771
10140844160
1172559336
123b203054
1323244652
14149c4092
15c57190a
hex8651c80

140844160 has 96 divisors (see below), whose sum is σ = 349436700. Its totient is φ = 54282240.

The previous prime is 140844149. The next prime is 140844173. The reversal of 140844160 is 61448041.

It can be written as a sum of positive squares in 2 ways, for example, as 135862336 + 4981824 = 11656^2 + 2232^2 .

It is a super-2 number, since 2×1408441602 = 39674154812211200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614926 + ... + 615154.

Almost surely, 2140844160 is an apocalyptic number.

140844160 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 140844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174718350).

140844160 is an abundant number, since it is smaller than the sum of its proper divisors (208592540).

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

140844160 is an equidigital number, since it uses as much as digits as its factorization.

140844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 140844160 is about 11867.7782250934. The cubic root of 140844160 is about 520.2909614251.

The spelling of 140844160 in words is "one hundred forty million, eight hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 229 248 310 320 458 496 620 640 916 961 992 1145 1240 1832 1922 1984 2290 2480 3664 3844 3968 4580 4805 4960 7099 7328 7688 9160 9610 9920 14198 14656 15376 18320 19220 19840 28396 29312 30752 35495 36640 38440 56792 61504 70990 73280 76880 113584 123008 141980 146560 153760 220069 227168 283960 307520 440138 454336 567920 615040 880276 908672 1100345 1135840 1760552 2200690 2271680 3521104 4401380 4543360 7042208 8802760 14084416 17605520 28168832 35211040 70422080 140844160