Search a number
-
+
2920631280 = 243573172087
BaseRepresentation
bin1010111000010101…
…0100101111110000
321112112200102220220
42232011110233300
521440140200110
61201451133040
7132242646000
oct25605245760
97475612826
102920631280
111269690566
12696144180
133771155b8
141d9c66000
15121617370
hexae154bf0

2920631280 has 320 divisors, whose sum is σ = 11184998400. Its totient is φ = 628002816.

The previous prime is 2920631213. The next prime is 2920631281. The reversal of 2920631280 is 821360292.

It is a happy number.

2920631280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920631281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1398397 + ... + 1400483.

It is an arithmetic number, because the mean of its divisors is an integer number (34953120).

Almost surely, 22920631280 is an apocalyptic number.

2920631280 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 2920631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592499200).

2920631280 is an abundant number, since it is smaller than the sum of its proper divisors (8264367120).

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

2920631280 is a wasteful number, since it uses less digits than its factorization.

2920631280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2920631280 is about 54042.8652090172. The cubic root of 2920631280 is about 1429.4168943136.

The spelling of 2920631280 in words is "two billion, nine hundred twenty million, six hundred thirty-one thousand, two hundred eighty".