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2140959360 = 27351636841
BaseRepresentation
bin111111110011100…
…0111001010000000
312112012121000010010
41333213013022000
513341041144420
6552240104520
7104024566011
oct17747071200
95465530103
102140959360
119a9574501
124b9005140
1328172c277
141644ad008
15c7e584e0
hex7f9c7280

2140959360 has 128 divisors (see below), whose sum is σ = 6867178560. Its totient is φ = 567336960.

The previous prime is 2140959341. The next prime is 2140959377. The reversal of 2140959360 is 639590412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 309540 + ... + 316380.

Almost surely, 22140959360 is an apocalyptic number.

2140959360 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 2140959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433589280).

2140959360 is an abundant number, since it is smaller than the sum of its proper divisors (4726219200).

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

2140959360 is a wasteful number, since it uses less digits than its factorization.

2140959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 2140959360 is about 46270.5020504425. The cubic root of 2140959360 is about 1288.8512819432.

The spelling of 2140959360 in words is "two billion, one hundred forty million, nine hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 163 192 240 320 326 384 480 489 640 652 815 960 978 1304 1630 1920 1956 2445 2608 3260 3912 4890 5216 6520 6841 7824 9780 10432 13040 13682 15648 19560 20523 20864 26080 27364 31296 34205 39120 41046 52160 54728 62592 68410 78240 82092 102615 104320 109456 136820 156480 164184 205230 218912 273640 312960 328368 410460 437824 547280 656736 820920 875648 1094560 1115083 1313472 1641840 2189120 2230166 2626944 3283680 3345249 4378240 4460332 5575415 6567360 6690498 8920664 11150830 13134720 13380996 16726245 17841328 22301660 26761992 33452490 35682656 44603320 53523984 66904980 71365312 89206640 107047968 133809960 142730624 178413280 214095936 267619920 356826560 428191872 535239840 713653120 1070479680 2140959360