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2092320 = 253251453
BaseRepresentation
bin111111110110100100000
310221022010100
413332310200
51013423240
6112502400
723533026
oct7766440
93838110
102092320
1111a9a9a
1284aa00
13583479
143c6716
152b4e30
hex1fed20

2092320 has 72 divisors (see below), whose sum is σ = 7144956. Its totient is φ = 557568.

The previous prime is 2092319. The next prime is 2092327. The reversal of 2092320 is 232902.

2092320 is digitally balanced in base 5, 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 1971216 + 121104 = 1404^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2092293 and 2092302.

It is not an unprimeable number, because it can be changed into a prime (2092327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714 + ... + 2166.

22092320 is an apocalyptic number.

2092320 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 2092320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572478).

2092320 is an abundant number, since it is smaller than the sum of its proper divisors (5052636).

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

2092320 is a wasteful number, since it uses less digits than its factorization.

2092320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2092320 is about 1446.4853957092. The cubic root of 2092320 is about 127.9016171090.

The spelling of 2092320 in words is "two million, ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1453 2906 4359 5812 7265 8718 11624 13077 14530 17436 21795 23248 26154 29060 34872 43590 46496 52308 58120 65385 69744 87180 104616 116240 130770 139488 174360 209232 232480 261540 348720 418464 523080 697440 1046160 2092320