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992010240 = 2133451323
BaseRepresentation
bin111011001000001…
…110000000000000
32120010122100020000
4323020032000000
54012423311430
6242234120000
733403643064
oct7310160000
92503570200
10992010240
11469a66a81
12238280000
1312a6a0610
1495a6baa4
155c153e60
hex3b20e000

992010240 has 560 divisors, whose sum is σ = 3996403488. Its totient is φ = 233570304.

The previous prime is 992010233. The next prime is 992010251. The reversal of 992010240 is 42010299.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43130869 + ... + 43130891.

Almost surely, 2992010240 is an apocalyptic number.

992010240 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 992010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998201744).

992010240 is an abundant number, since it is smaller than the sum of its proper divisors (3004393248).

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

992010240 is a wasteful number, since it uses less digits than its factorization.

992010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 992010240 is about 31496.1940557903. The cubic root of 992010240 is about 997.3296220959.

The spelling of 992010240 in words is "nine hundred ninety-two million, ten thousand, two hundred forty".