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2140371360 = 253253893821
BaseRepresentation
bin111111110010011…
…0111100110100000
312112011111010112100
41333210313212200
513340413340420
6552215330400
7104016566511
oct17744674640
95464433470
102140371360
119a9202756
124b8980a00
1328158473a
14164398a08
15c7d8e190
hex7f9379a0

2140371360 has 144 divisors (see below), whose sum is σ = 7324710120. Its totient is φ = 569149440.

The previous prime is 2140371341. The next prime is 2140371377. The reversal of 2140371360 is 631730412.

It can be written as a sum of positive squares in 4 ways, for example, as 1856920464 + 283450896 = 43092^2 + 16836^2 .

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

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, 558250 + ... + 562070.

Almost surely, 22140371360 is an apocalyptic number.

2140371360 is a gapful number since it is divisible by the number (20) 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 2140371360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662355060).

2140371360 is an abundant number, since it is smaller than the sum of its proper divisors (5184338760).

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

2140371360 is a wasteful number, since it uses less digits than its factorization.

2140371360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2140371360 is about 46264.1476739818. The cubic root of 2140371360 is about 1288.7332797121.

The spelling of 2140371360 in words is "two billion, one hundred forty million, three hundred seventy-one 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 96 120 144 160 180 240 288 360 389 480 720 778 1167 1440 1556 1945 2334 3112 3501 3821 3890 4668 5835 6224 7002 7642 7780 9336 11463 11670 12448 14004 15284 15560 17505 18672 19105 22926 23340 28008 30568 31120 34389 35010 37344 38210 45852 46680 56016 57315 61136 62240 68778 70020 76420 91704 93360 112032 114630 122272 137556 140040 152840 171945 183408 186720 229260 275112 280080 305680 343890 366816 458520 550224 560160 611360 687780 917040 1100448 1375560 1486369 1834080 2751120 2972738 4459107 5502240 5945476 7431845 8918214 11890952 13377321 14863690 17836428 22295535 23781904 26754642 29727380 35672856 44591070 47563808 53509284 59454760 66886605 71345712 89182140 107018568 118909520 133773210 142691424 178364280 214037136 237819040 267546420 356728560 428074272 535092840 713457120 1070185680 2140371360