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BaseRepresentation
bin111111110000000…
…1100111010010000
312112002011222021202
41333200030322100
513340110213140
6552133210332
7104003312600
oct17740147220
95462158252
102139147920
119a8547548
124b84909a8
13281246900
1416415ac00
15c7beb915
hex7f80ce90

2139147920 has 180 divisors, whose sum is σ = 6266736180. Its totient is φ = 676795392.

The previous prime is 2139147919. The next prime is 2139147931. The reversal of 2139147920 is 297419312.

It can be written as a sum of positive squares in 6 ways, for example, as 611276176 + 1527871744 = 24724^2 + 39088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 660866 + ... + 664094.

It is an arithmetic number, because the mean of its divisors is an integer number (34815201).

Almost surely, 22139147920 is an apocalyptic number.

2139147920 is a gapful number since it is divisible by the number (20) 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 2139147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133368090).

2139147920 is an abundant number, since it is smaller than the sum of its proper divisors (4127588260).

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

2139147920 is a wasteful number, since it uses less digits than its factorization.

2139147920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 2139147920 is about 46250.9234502404. The cubic root of 2139147920 is about 1288.4876855158.

The spelling of 2139147920 in words is "two billion, one hundred thirty-nine million, one hundred forty-seven thousand, nine hundred twenty".