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140427360 = 25325113863
BaseRepresentation
bin10000101111011…
…00000001100000
3100210020110010100
420113230001200
5241422133420
621533502400
73323420133
oct1027540140
9323213110
10140427360
11722a4177
123b041a00
1323129a18
141491621a
15c4dd190
hex85ec060

140427360 has 144 divisors (see below), whose sum is σ = 484009344. Its totient is φ = 37072896.

The previous prime is 140427359. The next prime is 140427373. The reversal of 140427360 is 63724041.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162289 + ... + 163151.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2140427360 is an apocalyptic number.

140427360 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 140427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242004672).

140427360 is an abundant number, since it is smaller than the sum of its proper divisors (343581984).

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

140427360 is a wasteful number, since it uses less digits than its factorization.

140427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 140427360 is about 11850.2050615169. The cubic root of 140427360 is about 519.7772221256. Note that the first 3 decimals are identical.

The spelling of 140427360 in words is "one hundred forty million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 113 120 144 160 180 226 240 288 339 360 452 480 565 678 720 863 904 1017 1130 1356 1440 1695 1726 1808 2034 2260 2589 2712 3390 3452 3616 4068 4315 4520 5085 5178 5424 6780 6904 7767 8136 8630 9040 10170 10356 10848 12945 13560 13808 15534 16272 17260 18080 20340 20712 25890 27120 27616 31068 32544 34520 38835 40680 41424 51780 54240 62136 69040 77670 81360 82848 97519 103560 124272 138080 155340 162720 195038 207120 248544 292557 310680 390076 414240 487595 585114 621360 780152 877671 975190 1170228 1242720 1462785 1560304 1755342 1950380 2340456 2925570 3120608 3510684 3900760 4388355 4680912 5851140 7021368 7801520 8776710 9361824 11702280 14042736 15603040 17553420 23404560 28085472 35106840 46809120 70213680 140427360