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2083711460 = 225104185573
BaseRepresentation
bin111110000110010…
…1110100111100100
312101012212111202112
41330030232213210
513231412231320
6542433100152
7102431153345
oct17414564744
95335774675
102083711460
1197a223296
124a19b7658
13272906b7c
1415aa4a0cc
15c2deaec5
hex7c32e9e4

2083711460 has 12 divisors (see below), whose sum is σ = 4375794108. Its totient is φ = 833484576.

The previous prime is 2083711459. The next prime is 2083711481. The reversal of 2083711460 is 641173802.

2083711460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 257345764 + 1826365696 = 16042^2 + 42736^2 .

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 3 ways as a sum of consecutive naturals, for example, 52092767 + ... + 52092806.

It is an arithmetic number, because the mean of its divisors is an integer number (364649509).

Almost surely, 22083711460 is an apocalyptic number.

2083711460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083711460 is an abundant number, since it is smaller than the sum of its proper divisors (2292082648).

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

2083711460 is a wasteful number, since it uses less digits than its factorization.

2083711460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104185582 (or 104185580 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2083711460 is about 45647.6884409277. The cubic root of 2083711460 is about 1277.2596525232.

The spelling of 2083711460 in words is "two billion, eighty-three million, seven hundred eleven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 104185573 208371146 416742292 520927865 1041855730 2083711460