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2140957120 = 2658837577
BaseRepresentation
bin111111110011100…
…0110100111000000
312112012120220001011
41333213012213000
513341041111440
6552240050304
7104024556331
oct17747064700
95465526034
102140957120
119a9572855
124b9003994
1328172b243
141644ac288
15c7e579ea
hex7f9c69c0

2140957120 has 56 divisors (see below), whose sum is σ = 5104601424. Its totient is φ = 855300096.

The previous prime is 2140957111. The next prime is 2140957121. The reversal of 2140957120 is 217590412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140957121) by changing a digit.

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, 278772 + ... + 286348.

Almost surely, 22140957120 is an apocalyptic number.

2140957120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140957120 is an abundant number, since it is smaller than the sum of its proper divisors (2963644304).

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

2140957120 is an equidigital number, since it uses as much as digits as its factorization.

2140957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8477 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 2140957120 is about 46270.4778449499. The cubic root of 2140957120 is about 1288.8508324519.

The spelling of 2140957120 in words is "two billion, one hundred forty million, nine hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 883 1766 3532 4415 7064 7577 8830 14128 15154 17660 28256 30308 35320 37885 56512 60616 70640 75770 121232 141280 151540 242464 282560 303080 484928 606160 1212320 2424640 6690491 13380982 26761964 33452455 53523928 66904910 107047856 133809820 214095712 267619640 428191424 535239280 1070478560 2140957120