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2129733060 = 22357213103541
BaseRepresentation
bin111111011110001…
…0010010111000100
312111102110122112020
41332330102113010
513330202424220
6551155323140
7103530301200
oct17674222704
95442418466
102129733060
119a31a6a74
124b52b04b0
1327c2cb4a0
14162bc9b00
15c6e8c040
hex7ef125c4

2129733060 has 288 divisors, whose sum is σ = 7556919552. Its totient is φ = 444165120.

The previous prime is 2129733041. The next prime is 2129733071. The reversal of 2129733060 is 603379212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3936390 + ... + 3936930.

It is an arithmetic number, because the mean of its divisors is an integer number (26239304).

Almost surely, 22129733060 is an apocalyptic number.

2129733060 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 2129733060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778459776).

2129733060 is an abundant number, since it is smaller than the sum of its proper divisors (5427186492).

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

2129733060 is a wasteful number, since it uses less digits than its factorization.

2129733060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 2129733060 is about 46149.0309757421. The cubic root of 2129733060 is about 1286.5945996964.

The spelling of 2129733060 in words is "two billion, one hundred twenty-nine million, seven hundred thirty-three thousand, sixty".