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992972120 = 23579973557
BaseRepresentation
bin111011001011111…
…000110101011000
32120012110012200012
4323023320311120
54013200101440
6242310501052
733415060310
oct7313706530
92505405605
10992972120
1146a563718
12238664788
1312a94938a
1495c3c440
155c293e65
hex3b2f8d58

992972120 has 64 divisors (see below), whose sum is σ = 2556636480. Its totient is φ = 340010496.

The previous prime is 992972117. The next prime is 992972131. The reversal of 992972120 is 21279299.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277382 + ... + 280938.

It is an arithmetic number, because the mean of its divisors is an integer number (39947445).

Almost surely, 2992972120 is an apocalyptic number.

It is an amenable number.

992972120 is an abundant number, since it is smaller than the sum of its proper divisors (1563664360).

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

992972120 is a wasteful number, since it uses less digits than its factorization.

992972120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 992972120 is about 31511.4601375436. The cubic root of 992972120 is about 997.6518639059.

The spelling of 992972120 in words is "nine hundred ninety-two million, nine hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 997 1994 3557 3988 4985 6979 7114 7976 9970 13958 14228 17785 19940 24899 27916 28456 34895 35570 39880 49798 55832 69790 71140 99596 124495 139580 142280 199192 248990 279160 497980 995960 3546329 7092658 14185316 17731645 24824303 28370632 35463290 49648606 70926580 99297212 124121515 141853160 198594424 248243030 496486060 992972120