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992118240 = 253351791283
BaseRepresentation
bin111011001000101…
…000010111100000
32120010211211101000
4323020220113200
54012440240430
6242240312000
733404603001
oct7310502740
92503754330
10992118240
1146a030133
12238312600
1312a70a819
1495a991a8
155c175e60
hex3b2285e0

992118240 has 192 divisors, whose sum is σ = 3494534400. Its totient is φ = 262881792.

The previous prime is 992118229. The next prime is 992118247. The reversal of 992118240 is 42811299.

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

It is a junction number, because it is equal to n+sod(n) for n = 992118195 and 992118204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992118247) 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 31 ways as a sum of consecutive naturals, for example, 772639 + ... + 773921.

It is an arithmetic number, because the mean of its divisors is an integer number (18200700).

Almost surely, 2992118240 is an apocalyptic number.

992118240 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 992118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747267200).

992118240 is an abundant number, since it is smaller than the sum of its proper divisors (2502416160).

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

992118240 is a wasteful number, since it uses less digits than its factorization.

992118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 992118240 is about 31497.9085019942. The cubic root of 992118240 is about 997.3658138227.

The spelling of 992118240 in words is "nine hundred ninety-two million, one hundred eighteen thousand, two hundred forty".