Search a number
-
+
2379027420 = 22325731131113
BaseRepresentation
bin1000110111001101…
…0001001111011100
320010210120010002200
42031303101033130
514333012334140
61032022451500
7112645254000
oct21563211734
96123503080
102379027420
111010998570
12564893b90
132bbb54943
14187d60700
15ddcd2030
hex8dcd13dc

2379027420 has 576 divisors, whose sum is σ = 9560678400. Its totient is φ = 474163200.

The previous prime is 2379027397. The next prime is 2379027463. The reversal of 2379027420 is 247209732.

It is a super-2 number, since 2×23790274202 = 11319542930223712800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21053284 + ... + 21053396.

It is an arithmetic number, because the mean of its divisors is an integer number (16598400).

Almost surely, 22379027420 is an apocalyptic number.

2379027420 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 2379027420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780339200).

2379027420 is an abundant number, since it is smaller than the sum of its proper divisors (7181650980).

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

2379027420 is a wasteful number, since it uses less digits than its factorization.

2379027420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2379027420 is about 48775.2746788780. The cubic root of 2379027420 is about 1334.9545580627.

The spelling of 2379027420 in words is "two billion, three hundred seventy-nine million, twenty-seven thousand, four hundred twenty".