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2113944840 = 2332577511117
BaseRepresentation
bin111111000000000…
…0011110100001000
312110022202112011100
41332000003310020
513312132213330
6545433101400
7103246143330
oct17600036410
95408675140
102113944840
119952a3057
124abb57860
13278c61147
14160a7a0c0
15c58be060
hex7e003d08

2113944840 has 192 divisors, whose sum is σ = 7869288960. Its totient is φ = 482112000.

The previous prime is 2113944797. The next prime is 2113944851. The reversal of 2113944840 is 484493112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2113944795 and 2113944804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891962 + ... + 1893078.

It is an arithmetic number, because the mean of its divisors is an integer number (40985880).

Almost surely, 22113944840 is an apocalyptic number.

2113944840 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 2113944840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934644480).

2113944840 is an abundant number, since it is smaller than the sum of its proper divisors (5755344120).

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

2113944840 is a wasteful number, since it uses less digits than its factorization.

2113944840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2113944840 is about 45977.6558776108. The cubic root of 2113944840 is about 1283.4074332132.

The spelling of 2113944840 in words is "two billion, one hundred thirteen million, nine hundred forty-four thousand, eight hundred forty".