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1920160368 = 2432719107937
BaseRepresentation
bin111001001110011…
…0101001001110000
311221211010020211200
41302130311021300
512413030112433
6514311411200
765404044120
oct16234651160
94854106750
101920160368
118a59759a5
12457083b00
13247a71c89
14143034c80
15b3891613
hex72735270

1920160368 has 240 divisors, whose sum is σ = 6532081920. Its totient is φ = 514335744.

The previous prime is 1920160357. The next prime is 1920160381. The reversal of 1920160368 is 8630610291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2048796 + ... + 2049732.

It is an arithmetic number, because the mean of its divisors is an integer number (27217008).

Almost surely, 21920160368 is an apocalyptic number.

1920160368 is a gapful number since it is divisible by the number (18) 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 1920160368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266040960).

1920160368 is an abundant number, since it is smaller than the sum of its proper divisors (4611921552).

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

1920160368 is a wasteful number, since it uses less digits than its factorization.

1920160368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1920160368 is about 43819.6345032681. The cubic root of 1920160368 is about 1242.9276056308.

The spelling of 1920160368 in words is "one billion, nine hundred twenty million, one hundred sixty thousand, three hundred sixty-eight".