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2139815424 = 2933144939
BaseRepresentation
bin111111110001010…
…1111111000000000
312112010102212221010
41333202233320000
513340243043144
6552155400520
7104012062635
oct17742577000
95463385833
102139815424
119a8962aaa
124b8753140
1328141b696
1416429218c
15c7cce5b9
hex7f8afe00

2139815424 has 80 divisors (see below), whose sum is σ = 5884623360. Its totient is φ = 690247680.

The previous prime is 2139815417. The next prime is 2139815443. The reversal of 2139815424 is 4245189312.

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 7 ways as a sum of consecutive naturals, for example, 25147 + ... + 70085.

It is an arithmetic number, because the mean of its divisors is an integer number (73557792).

Almost surely, 22139815424 is an apocalyptic number.

2139815424 is a gapful number since it is divisible by the number (24) 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 2139815424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942311680).

2139815424 is an abundant number, since it is smaller than the sum of its proper divisors (3744807936).

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

2139815424 is an equidigital number, since it uses as much as digits as its factorization.

2139815424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44991 (or 44975 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 2139815424 is about 46258.1390027744. The cubic root of 2139815424 is about 1288.6216923373.

The spelling of 2139815424 in words is "two billion, one hundred thirty-nine million, eight hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 11904 15872 23808 44939 47616 89878 134817 179756 269634 359512 539268 719024 1078536 1393109 1438048 2157072 2786218 2876096 4179327 4314144 5572436 5752192 8358654 8628288 11144872 11504384 16717308 17256576 22289744 23008768 33434616 34513152 44579488 66869232 69026304 89158976 133738464 178317952 267476928 356635904 534953856 713271808 1069907712 2139815424