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2140752912 = 243671933449
BaseRepresentation
bin111111110011001…
…0100110000010000
312112012012111220220
41333212110300100
513341013043122
6552231433040
7104023046064
oct17746246020
95465174826
102140752912
119a9443391
124b8b25780
132816892cc
14164457aa4
15c7e1725c
hex7f994c10

2140752912 has 80 divisors (see below), whose sum is σ = 5643537600. Its totient is φ = 699088896.

The previous prime is 2140752907. The next prime is 2140752949. The reversal of 2140752912 is 2192570412.

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, 618964 + ... + 622412.

It is an arithmetic number, because the mean of its divisors is an integer number (70544220).

Almost surely, 22140752912 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 2140752912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821768800).

2140752912 is an abundant number, since it is smaller than the sum of its proper divisors (3502784688).

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

2140752912 is a wasteful number, since it uses less digits than its factorization.

2140752912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2140752912 is about 46268.2711153118. The cubic root of 2140752912 is about 1288.8098535805.

The spelling of 2140752912 in words is "two billion, one hundred forty million, seven hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 193 201 268 386 402 536 579 772 804 1072 1158 1544 1608 2316 3088 3216 3449 4632 6898 9264 10347 12931 13796 20694 25862 27592 38793 41388 51724 55184 77586 82776 103448 155172 165552 206896 231083 310344 462166 620688 665657 693249 924332 1331314 1386498 1848664 1996971 2662628 2772996 3697328 3993942 5325256 5545992 7987884 10650512 11091984 15975768 31951536 44599019 89198038 133797057 178396076 267594114 356792152 535188228 713584304 1070376456 2140752912