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2158368960 = 2635112171093
BaseRepresentation
bin1000000010100110…
…0001100011000000
312120102100111121010
42000221201203000
513410020301320
6554101200520
7104325555606
oct20051414300
95512314533
102158368960
11a08385600
12502a00140
132852165c7
14166921876
15c9746ae0
hex80a618c0

2158368960 has 336 divisors, whose sum is σ = 7982821728. Its totient is φ = 492011520.

The previous prime is 2158368959. The next prime is 2158368983. The reversal of 2158368960 is 698638512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974174 + ... + 1975266.

It is an arithmetic number, because the mean of its divisors is an integer number (23758398).

Almost surely, 22158368960 is an apocalyptic number.

2158368960 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 2158368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991410864).

2158368960 is an abundant number, since it is smaller than the sum of its proper divisors (5824452768).

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

2158368960 is a wasteful number, since it uses less digits than its factorization.

2158368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2158368960 is about 46458.2496441698. The cubic root of 2158368960 is about 1292.3353645740.

The spelling of 2158368960 in words is "two billion, one hundred fifty-eight million, three hundred sixty-eight thousand, nine hundred sixty".