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2140347648 = 2836594229
BaseRepresentation
bin111111110010011…
…0001110100000000
312112011102221000010
41333210301310000
513340412111043
6552215024520
7104016440415
oct17744616400
95464387003
102140347648
119a919695a
124b896b140
132815769ca
1416439010c
15c7d87133
hex7f931d00

2140347648 has 72 divisors (see below), whose sum is σ = 5706439200. Its totient is φ = 712198144.

The previous prime is 2140347619. The next prime is 2140347667. The reversal of 2140347648 is 8467430412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503998 + ... + 508226.

It is an arithmetic number, because the mean of its divisors is an integer number (79256100).

Almost surely, 22140347648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853219600).

2140347648 is an abundant number, since it is smaller than the sum of its proper divisors (3566091552).

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

2140347648 is an equidigital number, since it uses as much as digits as its factorization.

2140347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2140347648 is about 46263.8914057173. The cubic root of 2140347648 is about 1288.7285206382.

The spelling of 2140347648 in words is "two billion, one hundred forty million, three hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 659 768 1318 1977 2636 3954 4229 5272 7908 8458 10544 12687 15816 16916 21088 25374 31632 33832 42176 50748 63264 67664 84352 101496 126528 135328 168704 202992 253056 270656 405984 506112 541312 811968 1082624 1623936 2786911 3247872 5573822 8360733 11147644 16721466 22295288 33442932 44590576 66885864 89181152 133771728 178362304 267543456 356724608 535086912 713449216 1070173824 2140347648