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9240084840 = 2335727122133
BaseRepresentation
bin10001001101100000…
…01000000101101000
3212211221211221111110
420212300020011220
5122410430203330
64124515030320
7444656265600
oct104660100550
925757757443
109240084840
113a11872558
12195a59b3a0
13b4343092c
1463926dc00
15391302db0
hex226c08168

9240084840 has 192 divisors, whose sum is σ = 32701656960. Its totient is φ = 2082178560.

The previous prime is 9240084829. The next prime is 9240084853. The reversal of 9240084840 is 484800429.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406414 + ... + 428546.

It is an arithmetic number, because the mean of its divisors is an integer number (170321130).

Almost surely, 29240084840 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 9240084840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350828480).

9240084840 is an abundant number, since it is smaller than the sum of its proper divisors (23461572120).

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

9240084840 is a wasteful number, since it uses less digits than its factorization.

9240084840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22232 (or 22221 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 9240084840 is about 96125.3600253336. The cubic root of 9240084840 is about 2098.4179195158.

The spelling of 9240084840 in words is "nine billion, two hundred forty million, eighty-four thousand, eight hundred forty".