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12132240 = 243550551
BaseRepresentation
bin101110010001…
…111110010000
3211211101022020
4232101332100
511101212430
61112011440
7205056651
oct56217620
924741266
1012132240
11693714a
124090b80
13268a253
14187b528
1510e9b10
hexb91f90

12132240 has 40 divisors (see below), whose sum is σ = 37610688. Its totient is φ = 3235200.

The previous prime is 12132223. The next prime is 12132259. The reversal of 12132240 is 4223121.

12132240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25036 + ... + 25515.

Almost surely, 212132240 is an apocalyptic number.

12132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132240 is an abundant number, since it is smaller than the sum of its proper divisors (25478448).

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

12132240 is a wasteful number, since it uses less digits than its factorization.

12132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50567 (or 50561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12132240 is about 3483.1365175657. The cubic root of 12132240 is about 229.7807614702.

Adding to 12132240 its reverse (4223121), we get a palindrome (16355361).

The spelling of 12132240 in words is "twelve million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50551 101102 151653 202204 252755 303306 404408 505510 606612 758265 808816 1011020 1213224 1516530 2022040 2426448 3033060 4044080 6066120 12132240