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2140461264 = 243192346997
BaseRepresentation
bin111111110010100…
…1101100011010000
312112011122200212010
41333211031203100
513340424230024
6552221302520
7104020422564
oct17745154320
95464580763
102140461264
119a9264257
124b8a04a40
132815b6636
141643bd6a4
15c7daab29
hex7f94d8d0

2140461264 has 40 divisors (see below), whose sum is σ = 5820555040. Its totient is φ = 675934848.

The previous prime is 2140461241. The next prime is 2140461307. The reversal of 2140461264 is 4621640412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172587 + ... + 1174410.

It is an arithmetic number, because the mean of its divisors is an integer number (145513876).

Almost surely, 22140461264 is an apocalyptic number.

2140461264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2140461264 is an abundant number, since it is smaller than the sum of its proper divisors (3680093776).

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

2140461264 is a wasteful number, since it uses less digits than its factorization.

2140461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347027 (or 2347021 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2140461264 is about 46265.1193016942. The cubic root of 2140461264 is about 1288.7513234119.

The spelling of 2140461264 in words is "two billion, one hundred forty million, four hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2346997 4693994 7040991 9387988 14081982 18775976 28163964 37551952 44592943 56327928 89185886 112655856 133778829 178371772 267557658 356743544 535115316 713487088 1070230632 2140461264