Search a number
-
+
2379439920 = 24351113194189
BaseRepresentation
bin1000110111010011…
…0101111100110000
320010211100001221110
42031310311330300
514333114034140
61032035353320
7112651622424
oct21564657460
96124301843
102379439920
11101114a480
12564a52840
132bbc6a620
1418802ab84
15ddd64380
hex8dd35f30

2379439920 has 640 divisors, whose sum is σ = 9449395200. Its totient is φ = 486604800.

The previous prime is 2379439903. The next prime is 2379439949. The reversal of 2379439920 is 299349732.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2379439920.

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 127 ways as a sum of consecutive naturals, for example, 26735236 + ... + 26735324.

It is an arithmetic number, because the mean of its divisors is an integer number (14764680).

Almost surely, 22379439920 is an apocalyptic number.

2379439920 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 2379439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724697600).

2379439920 is an abundant number, since it is smaller than the sum of its proper divisors (7069955280).

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

2379439920 is a wasteful number, since it uses less digits than its factorization.

2379439920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 2379439920 is about 48779.5030724996. The cubic root of 2379439920 is about 1335.0317096089.

The spelling of 2379439920 in words is "two billion, three hundred seventy-nine million, four hundred thirty-nine thousand, nine hundred twenty".