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12090420 = 2232567169
BaseRepresentation
bin101110000111…
…110000110100
3211202020221100
4232013300310
511043343140
61111050100
7204524016
oct56076064
924666840
1012090420
116908791
124070930
1326741c4
14186a1b6
1510dc530
hexb87c34

12090420 has 36 divisors (see below), whose sum is σ = 36674820. Its totient is φ = 3224064.

The previous prime is 12090409. The next prime is 12090431. The reversal of 12090420 is 2409021.

12090420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12090409) and next prime (12090431).

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 8785296 = 1818^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12090393 and 12090402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33405 + ... + 33764.

It is an arithmetic number, because the mean of its divisors is an integer number (1018745).

Almost surely, 212090420 is an apocalyptic number.

12090420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12090420 is an abundant number, since it is smaller than the sum of its proper divisors (24584400).

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

12090420 is a wasteful number, since it uses less digits than its factorization.

12090420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67184 (or 67179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12090420 is about 3477.1281253356. The cubic root of 12090420 is about 229.5164383686.

Adding to 12090420 its reverse (2409021), we get a palindrome (14499441).

The spelling of 12090420 in words is "twelve million, ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67169 134338 201507 268676 335845 403014 604521 671690 806028 1007535 1209042 1343380 2015070 2418084 3022605 4030140 6045210 12090420