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1992779820 = 22365314409
BaseRepresentation
bin111011011000111…
…0110100000101100
312010212202201000000
41312301312200230
513040122423240
6525424104300
7100245230463
oct16661664054
95125681000
101992779820
11932965a79
12477465090
13259b19b75
1414c9399da
15b9e38430
hex76c7682c

1992779820 has 168 divisors, whose sum is σ = 6478254720. Its totient is φ = 514149120.

The previous prime is 1992779779. The next prime is 1992779843. The reversal of 1992779820 is 289772991.

1992779820 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 449776 + ... + 454184.

It is an arithmetic number, because the mean of its divisors is an integer number (38561040).

Almost surely, 21992779820 is an apocalyptic number.

1992779820 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 1992779820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239127360).

1992779820 is an abundant number, since it is smaller than the sum of its proper divisors (4485474900).

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

1992779820 is a wasteful number, since it uses less digits than its factorization.

1992779820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1992779820 is about 44640.5624964561. The cubic root of 1992779820 is about 1258.4030789619.

The spelling of 1992779820 in words is "one billion, nine hundred ninety-two million, seven hundred seventy-nine thousand, eight hundred twenty".