Search a number
-
+
926008020 = 2232571722543
BaseRepresentation
bin110111001100011…
…100001011010100
32101112110002012100
4313030130023110
53344024224040
6231515322100
731642636560
oct6714341324
92345402170
10926008020
11435786593
1221a150330
13119b01652
148adaa6a0
1556467b30
hex3731c2d4

926008020 has 216 divisors, whose sum is σ = 3411442944. Its totient is φ = 199130112.

The previous prime is 926007989. The next prime is 926008033. The reversal of 926008020 is 20800629.

926008020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 362869 + ... + 365411.

Almost surely, 2926008020 is an apocalyptic number.

926008020 is a gapful number since it is divisible by the number (90) 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 926008020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705721472).

926008020 is an abundant number, since it is smaller than the sum of its proper divisors (2485434924).

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

926008020 is a wasteful number, since it uses less digits than its factorization.

926008020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 926008020 is about 30430.3798858969. The cubic root of 926008020 is about 974.7013838965.

Adding to 926008020 its reverse (20800629), we get a palindrome (946808649).

The spelling of 926008020 in words is "nine hundred twenty-six million, eight thousand, twenty".