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1992099840 = 21135193413
BaseRepresentation
bin111011010111101…
…0000100000000000
312010211111011020120
41312233100200000
513034434143330
6525401340240
7100236366153
oct16657204000
95124434216
101992099840
11932541105
12477197680
1325993c503
1414c7ddc9a
15b9d51c10
hex76bd0800

1992099840 has 192 divisors, whose sum is σ = 6710558400. Its totient is φ = 503119872.

The previous prime is 1992099833. The next prime is 1992099881. The reversal of 1992099840 is 489902991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581974 + ... + 585386.

It is an arithmetic number, because the mean of its divisors is an integer number (34950825).

Almost surely, 21992099840 is an apocalyptic number.

1992099840 is a gapful number since it is divisible by the number (10) 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 1992099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355279200).

1992099840 is an abundant number, since it is smaller than the sum of its proper divisors (4718458560).

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

1992099840 is a wasteful number, since it uses less digits than its factorization.

1992099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The square root of 1992099840 is about 44632.9456791729. The cubic root of 1992099840 is about 1258.2599311403.

The spelling of 1992099840 in words is "one billion, nine hundred ninety-two million, ninety-nine thousand, eight hundred forty".