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2054760960 = 29357371033
BaseRepresentation
bin111101001111001…
…0010101000000000
312022012101200010210
41322132102220000
513202004322320
6535520354120
7101630115510
oct17236225000
95265350123
102054760960
1196494a35a
12494175940
1326990b7b5
14156c71840
15c05cd0e0
hex7a792a00

2054760960 has 320 divisors, whose sum is σ = 7717577472. Its totient is φ = 456523776.

The previous prime is 2054760949. The next prime is 2054760973. The reversal of 2054760960 is 690674502.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988604 + ... + 1989636.

Almost surely, 22054760960 is an apocalyptic number.

2054760960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858788736).

2054760960 is an abundant number, since it is smaller than the sum of its proper divisors (5662816512).

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

2054760960 is a wasteful number, since it uses less digits than its factorization.

2054760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2054760960 is about 45329.4712080342. The cubic root of 2054760960 is about 1271.3167486796.

The spelling of 2054760960 in words is "two billion, fifty-four million, seven hundred sixty thousand, nine hundred sixty".