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2142945920 = 2753348353
BaseRepresentation
bin111111110111010…
…1100001010000000
312112100022221011102
41333232230022000
513342043232140
6552350433532
7104050511513
oct17756541200
95470287142
102142945920
119aa700a95
124b98028a8
13281c7654b
14164868d7a
15c81ebe15
hex7fbac280

2142945920 has 32 divisors (see below), whose sum is σ = 5122981620. Its totient is φ = 857178112.

The previous prime is 2142945919. The next prime is 2142945943. The reversal of 2142945920 is 295492412.

It can be written as a sum of positive squares in 2 ways, for example, as 1938112576 + 204833344 = 44024^2 + 14312^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1673537 + ... + 1674816.

Almost surely, 22142945920 is an apocalyptic number.

2142945920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142945920 is an abundant number, since it is smaller than the sum of its proper divisors (2980035700).

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

2142945920 is an equidigital number, since it uses as much as digits as its factorization.

2142945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348372 (or 3348360 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 2142945920 is about 46291.9638814341. The cubic root of 2142945920 is about 1289.2497931507.

The spelling of 2142945920 in words is "two billion, one hundred forty-two million, nine hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3348353 6696706 13393412 16741765 26786824 33483530 53573648 66967060 107147296 133934120 214294592 267868240 428589184 535736480 1071472960 2142945920