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2090120 = 23552253
BaseRepresentation
bin111111110010010001000
310221012002212
413332102020
51013340440
6112444252
723523434
oct7762210
93835085
102090120
1111a837a
12849688
13582476
143c59c4
152b4465
hex1fe488

2090120 has 16 divisors (see below), whose sum is σ = 4702860. Its totient is φ = 836032.

The previous prime is 2090119. The next prime is 2090131. The reversal of 2090120 is 210902.

It can be written as a sum of positive squares in 2 ways, for example, as 2033476 + 56644 = 1426^2 + 238^2 .

It is a super-2 number, since 2×20901202 = 8737203228800, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2090095 and 2090104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26087 + ... + 26166.

22090120 is an apocalyptic number.

2090120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2090120 is an abundant number, since it is smaller than the sum of its proper divisors (2612740).

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

2090120 is a wasteful number, since it uses less digits than its factorization.

2090120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52264 (or 52260 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2090120 is about 1445.7247317522. The cubic root of 2090120 is about 127.8567733890.

The spelling of 2090120 in words is "two million, ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 52253 104506 209012 261265 418024 522530 1045060 2090120