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2054318760 = 23345131719151
BaseRepresentation
bin111101001110010…
…0110101010101000
312022011120012120000
41322130212222220
513201401200020
6535503103000
7101623264344
oct17234465250
95264505500
102054318760
119646780aa
12493ba1a60
132697b5440
14156b98624
15c0542090
hex7a726aa8

2054318760 has 640 divisors, whose sum is σ = 8342611200. Its totient is φ = 447897600.

The previous prime is 2054318759. The next prime is 2054318789. The reversal of 2054318760 is 678134502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13604685 + ... + 13604835.

It is an arithmetic number, because the mean of its divisors is an integer number (13035330).

Almost surely, 22054318760 is an apocalyptic number.

2054318760 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 2054318760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171305600).

2054318760 is an abundant number, since it is smaller than the sum of its proper divisors (6288292440).

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

2054318760 is a wasteful number, since it uses less digits than its factorization.

2054318760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2054318760 is about 45324.5933241546. The cubic root of 2054318760 is about 1271.2255431638.

The spelling of 2054318760 in words is "two billion, fifty-four million, three hundred eighteen thousand, seven hundred sixty".