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2160013824 = 29333741103
BaseRepresentation
bin1000000010111111…
…0011001000000000
312120112110001221000
42000233303020000
513410430420244
6554200332000
7104345546253
oct20057631000
95515401830
102160013824
11a092a93a1
12503474000
132856711b7
14166c2d09a
15c996e169
hex80bf3200

2160013824 has 320 divisors, whose sum is σ = 6792065280. Its totient is φ = 676823040.

The previous prime is 2160013819. The next prime is 2160013831. The reversal of 2160013824 is 4283100612.

2160013824 is a `hidden beast` number, since 2 + 1 + 600 + 1 + 38 + 24 = 666.

It is a super-2 number, since 2×21600138242 = 9331319439742205952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20970957 + ... + 20971059.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 22160013824 is an apocalyptic number.

2160013824 is a gapful number since it is divisible by the number (24) 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 2160013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396032640).

2160013824 is an abundant number, since it is smaller than the sum of its proper divisors (4632051456).

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

2160013824 is a wasteful number, since it uses less digits than its factorization.

2160013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2160013824 is about 46475.9488768115. The cubic root of 2160013824 is about 1292.6635716897.

It can be divided in two parts, 21600 and 13824, that multiplied together give a square (298598400 = 172802).

The spelling of 2160013824 in words is "two billion, one hundred sixty million, thirteen thousand, eight hundred twenty-four".