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2132804520 = 2334571183103
BaseRepresentation
bin111111100100000…
…0000001110101000
312111122020200210000
41333020000032220
513331444221040
6551345223000
7103565352660
oct17710001650
95448220700
102132804520
119a4a04670
124b6331a60
1327cb35512
141633891a0
15c7397130
hex7f2003a8

2132804520 has 640 divisors, whose sum is σ = 9132963840. Its totient is φ = 433589760.

The previous prime is 2132804503. The next prime is 2132804537. The reversal of 2132804520 is 254082312.

2132804520 is a `hidden beast` number, since 2 + 132 + 8 + 0 + 4 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2132804503) and next prime (2132804537).

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 20706789 + ... + 20706891.

It is an arithmetic number, because the mean of its divisors is an integer number (14270256).

Almost surely, 22132804520 is an apocalyptic number.

2132804520 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 2132804520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566481920).

2132804520 is an abundant number, since it is smaller than the sum of its proper divisors (7000159320).

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

2132804520 is a wasteful number, since it uses less digits than its factorization.

2132804520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2132804520 is about 46182.2966081160. The cubic root of 2132804520 is about 1287.2128032550.

Adding to 2132804520 its reverse (254082312), we get a palindrome (2386886832).

The spelling of 2132804520 in words is "two billion, one hundred thirty-two million, eight hundred four thousand, five hundred twenty".