Search a number
-
+
2051363880 = 233451947709
BaseRepresentation
bin111101001000101…
…0101010000101000
312021222000002020000
41322101111100220
513200122121010
6535315503000
7101556206466
oct17221252050
95258002200
102051363880
11962a3a055
12492bb7a60
13268cbc4a7
14156629836
15c015b7c0
hex7a455428

2051363880 has 320 divisors, whose sum is σ = 7422624000. Its totient is φ = 506497536.

The previous prime is 2051363827. The next prime is 2051363903. The reversal of 2051363880 is 883631502.

2051363880 is a `hidden beast` number, since 2 + 0 + 5 + 13 + 638 + 8 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 2892966 + ... + 2893674.

It is an arithmetic number, because the mean of its divisors is an integer number (23195700).

Almost surely, 22051363880 is an apocalyptic number.

2051363880 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 2051363880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711312000).

2051363880 is an abundant number, since it is smaller than the sum of its proper divisors (5371260120).

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

2051363880 is a wasteful number, since it uses less digits than its factorization.

2051363880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2051363880 is about 45291.9847213610. The cubic root of 2051363880 is about 1270.6157511743.

The spelling of 2051363880 in words is "two billion, fifty-one million, three hundred sixty-three thousand, eight hundred eighty".