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1992669120 = 2633513113157
BaseRepresentation
bin111011011000101…
…1011011111000000
312010212120002011000
41312301123133000
513040110402440
6525421452000
7100244256651
oct16661333700
95125502130
101992669120
1193289a892
12477411000
13259aab670
1414c90b528
15b9e15730
hex76c5b7c0

1992669120 has 448 divisors, whose sum is σ = 7686080640. Its totient is φ = 483065856.

The previous prime is 1992669113. The next prime is 1992669163. The reversal of 1992669120 is 219662991.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 12692082 + ... + 12692238.

It is an arithmetic number, because the mean of its divisors is an integer number (17156430).

Almost surely, 21992669120 is an apocalyptic number.

1992669120 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 1992669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843040320).

1992669120 is an abundant number, since it is smaller than the sum of its proper divisors (5693411520).

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

1992669120 is a wasteful number, since it uses less digits than its factorization.

1992669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1992669120 is about 44639.3225755051. The cubic root of 1992669120 is about 1258.3797768725.

The spelling of 1992669120 in words is "one billion, nine hundred ninety-two million, six hundred sixty-nine thousand, one hundred twenty".