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992080104 = 233317916879
BaseRepresentation
bin111011001000011…
…111000011101000
32120010202220001120
4323020133003220
54012433030404
6242235415240
733404353551
oct7310370350
92503686046
10992080104
1146a004514
122382b4520
1312a6c6362
1495a89328
155c1699d9
hex3b21f0e8

992080104 has 64 divisors (see below), whose sum is σ = 2592768000. Its totient is φ = 315956160.

The previous prime is 992080099. The next prime is 992080109. The reversal of 992080104 is 401080299.

992080104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (992080099) and next prime (992080109).

It is not an unprimeable number, because it can be changed into a prime (992080109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50337 + ... + 67215.

It is an arithmetic number, because the mean of its divisors is an integer number (40512000).

Almost surely, 2992080104 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 992080104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296384000).

992080104 is an abundant number, since it is smaller than the sum of its proper divisors (1600687896).

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

992080104 is a wasteful number, since it uses less digits than its factorization.

992080104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16998 (or 16994 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 992080104 is about 31497.3031226485. The cubic root of 992080104 is about 997.3530344218.

The spelling of 992080104 in words is "nine hundred ninety-two million, eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 93 124 158 186 237 248 316 372 474 632 744 948 1896 2449 4898 7347 9796 14694 16879 19592 29388 33758 50637 58776 67516 101274 135032 202548 405096 523249 1046498 1333441 1569747 2092996 2666882 3139494 4000323 4185992 5333764 6278988 8000646 10667528 12557976 16001292 32002584 41336671 82673342 124010013 165346684 248020026 330693368 496040052 992080104