Search a number
-
+
12392240 = 245722129
BaseRepresentation
bin101111010001…
…011100110000
3212022120221212
4233101130300
511133022430
61121335252
7210221660
oct57213460
925276855
1012392240
116aa4523
124197528
13274b6b3
1419081a0
15114bb95
hexbd1730

12392240 has 40 divisors (see below), whose sum is σ = 32929440. Its totient is φ = 4248576.

The previous prime is 12392227. The next prime is 12392243. The reversal of 12392240 is 4229321.

12392240 is digitally balanced in base 2 and base 8, 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 super-2 number, since 2×123922402 = 307135224435200, which contains 22 as substring.

12392240 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12392243) 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, 10505 + ... + 11624.

It is an arithmetic number, because the mean of its divisors is an integer number (823236).

Almost surely, 212392240 is an apocalyptic number.

12392240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12392240 is an abundant number, since it is smaller than the sum of its proper divisors (20537200).

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

12392240 is a wasteful number, since it uses less digits than its factorization.

12392240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22149 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 12392240 is about 3520.2613539338. The cubic root of 12392240 is about 231.4106125517.

The spelling of 12392240 in words is "twelve million, three hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22129 44258 88516 110645 154903 177032 221290 309806 354064 442580 619612 774515 885160 1239224 1549030 1770320 2478448 3098060 6196120 12392240