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2138482920 = 2335731412003
BaseRepresentation
bin111111101110110…
…1010100011101000
312112000221012002010
41333131222203220
513334422423140
6552111035520
7103664543040
oct17735524350
95460835063
102138482920
119a8132962
124b820bba0
13281073012
14164026720
15c7b19880
hex7f76a8e8

2138482920 has 256 divisors, whose sum is σ = 7756922880. Its totient is φ = 461260800.

The previous prime is 2138482909. The next prime is 2138482933. The reversal of 2138482920 is 292848312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066639 + ... + 1068641.

It is an arithmetic number, because the mean of its divisors is an integer number (30300480).

Almost surely, 22138482920 is an apocalyptic number.

2138482920 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 2138482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878461440).

2138482920 is an abundant number, since it is smaller than the sum of its proper divisors (5618439960).

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

2138482920 is a wasteful number, since it uses less digits than its factorization.

2138482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2138482920 is about 46243.7338457872. The cubic root of 2138482920 is about 1288.3541536693.

The spelling of 2138482920 in words is "two billion, one hundred thirty-eight million, four hundred eighty-two thousand, nine hundred twenty".