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12069280 = 255241313
BaseRepresentation
bin101110000010…
…100110100000
3211201011221101
4232002212200
511042204110
61110404144
7204405256
oct56024640
924634841
1012069280
1168a3913
124060654
1326676b2
1418625d6
1510d613a
hexb829a0

12069280 has 48 divisors (see below), whose sum is σ = 28723464. Its totient is φ = 4792320.

The previous prime is 12069263. The next prime is 12069287. The reversal of 12069280 is 8296021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7246864 + 4822416 = 2692^2 + 2196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12069287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38404 + ... + 38716.

Almost surely, 212069280 is an apocalyptic number.

12069280 is a gapful number since it is divisible by the number (10) 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 12069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361732).

12069280 is an abundant number, since it is smaller than the sum of its proper divisors (16654184).

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

12069280 is a wasteful number, since it uses less digits than its factorization.

12069280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 12069280 is about 3474.0869304034. The cubic root of 12069280 is about 229.3825911259.

The spelling of 12069280 in words is "twelve million, sixty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 313 482 626 964 1205 1252 1565 1928 2410 2504 3130 3856 4820 5008 6260 7712 9640 10016 12520 19280 25040 38560 50080 75433 150866 301732 377165 603464 754330 1206928 1508660 2413856 3017320 6034640 12069280