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2082320 = 24526029
BaseRepresentation
bin111111100011000010000
310220210101222
413330120100
51013113240
6112344212
723461622
oct7743020
93823358
102082320
1111a2529
12845068
1357ba56
143c2c12
152b1eb5
hex1fc610

2082320 has 20 divisors (see below), whose sum is σ = 4841580. Its totient is φ = 832896.

The previous prime is 2082281. The next prime is 2082341. The reversal of 2082320 is 232802.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 1731856 = 592^2 + 1316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12935 + ... + 13094.

It is an arithmetic number, because the mean of its divisors is an integer number (242079).

22082320 is an apocalyptic number.

2082320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082320 is an abundant number, since it is smaller than the sum of its proper divisors (2759260).

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

2082320 is a wasteful number, since it uses less digits than its factorization.

2082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26042 (or 26036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2082320 is about 1443.0246013149. The cubic root of 2082320 is about 127.6975279902.

The spelling of 2082320 in words is "two million, eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26029 52058 104116 130145 208232 260290 416464 520580 1041160 2082320