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2140785264 = 24359769983
BaseRepresentation
bin111111110011001…
…1100101001110000
312112012021011022010
41333212130221300
513341020112024
6552232242520
7104023242312
oct17746345160
95465234263
102140785264
119a9465722
124b8b40440
1328169ac57
141644657b2
15c7e21b29
hex7f99ca70

2140785264 has 80 divisors (see below), whose sum is σ = 5637139200. Its totient is φ = 699875328.

The previous prime is 2140785239. The next prime is 2140785313. The reversal of 2140785264 is 4625870412.

It is a congruent number.

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, 2177317 + ... + 2178299.

It is an arithmetic number, because the mean of its divisors is an integer number (70464240).

Almost surely, 22140785264 is an apocalyptic number.

2140785264 is a gapful number since it is divisible by the number (24) 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 2140785264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818569600).

2140785264 is an abundant number, since it is smaller than the sum of its proper divisors (3496353936).

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

2140785264 is a wasteful number, since it uses less digits than its factorization.

2140785264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2140785264 is about 46268.6207272272. The cubic root of 2140785264 is about 1288.8163459017.

The spelling of 2140785264 in words is "two billion, one hundred forty million, seven hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 769 944 983 1416 1538 1966 2307 2832 2949 3076 3932 4614 5898 6152 7864 9228 11796 12304 15728 18456 23592 36912 45371 47184 57997 90742 115994 136113 173991 181484 231988 272226 347982 362968 463976 544452 695964 725936 755927 927952 1088904 1391928 1511854 2177808 2267781 2783856 3023708 4535562 6047416 9071124 12094832 18142248 36284496 44599693 89199386 133799079 178398772 267598158 356797544 535196316 713595088 1070392632 2140785264