Search a number
-
+
5331013920 = 2533519107607
BaseRepresentation
bin1001111011100000…
…01101000100100000
3111202112020120022000
410331300031010200
541404214421140
62240554044000
7246051604431
oct47560150440
914675216260
105331013920
112296244731
121049419600
1366c5c800b
14388029488
1521303ea30
hex13dc0d120

5331013920 has 384 divisors, whose sum is σ = 19856793600. Its totient is φ = 1331997696.

The previous prime is 5331013907. The next prime is 5331013927. The reversal of 5331013920 is 293101335.

It is a happy number.

5331013920 is a `hidden beast` number, since 533 + 101 + 3 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5331013927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8782257 + ... + 8782863.

It is an arithmetic number, because the mean of its divisors is an integer number (51710400).

Almost surely, 25331013920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5331013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928396800).

5331013920 is an abundant number, since it is smaller than the sum of its proper divisors (14525779680).

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

5331013920 is a wasteful number, since it uses less digits than its factorization.

5331013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 5331013920 is about 73013.7926696046. The cubic root of 5331013920 is about 1746.9076184760.

The spelling of 5331013920 in words is "five billion, three hundred thirty-one million, thirteen thousand, nine hundred twenty".