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140871360 = 2635720963
BaseRepresentation
bin10000110010110…
…00011011000000
3100211002000011210
420121120123000
5242030340420
621551210120
73330246450
oct1031303300
9324060153
10140871360
1172577813
123b216940
1323253b46
14149cdd60
15c5799e0
hex86586c0

140871360 has 112 divisors (see below), whose sum is σ = 511186176. Its totient is φ = 32197632.

The previous prime is 140871359. The next prime is 140871371. The reversal of 140871360 is 63178041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762 + ... + 17201.

Almost surely, 2140871360 is an apocalyptic number.

140871360 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 140871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255593088).

140871360 is an abundant number, since it is smaller than the sum of its proper divisors (370314816).

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

140871360 is a wasteful number, since it uses less digits than its factorization.

140871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20990 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 140871360 is about 11868.9241298443. The cubic root of 140871360 is about 520.3244523492.

The spelling of 140871360 in words is "one hundred forty million, eight hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 20963 41926 62889 83852 104815 125778 146741 167704 209630 251556 293482 314445 335408 419260 440223 503112 586964 628890 670816 733705 838520 880446 1006224 1173928 1257780 1341632 1467410 1677040 1760892 2012448 2201115 2347856 2515560 2934820 3354080 3521784 4024896 4402230 4695712 5031120 5869640 6708160 7043568 8804460 9391424 10062240 11739280 14087136 17608920 20124480 23478560 28174272 35217840 46957120 70435680 140871360