Search a number
-
+
12257240 = 235306431
BaseRepresentation
bin101110110000…
…011111011000
3212001201202212
4232300133120
511114212430
61114414252
7206120252
oct56603730
925051685
1012257240
116a12056
124131388
132702108
1418b0cd2
151121b95
hexbb07d8

12257240 has 16 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4902880.

The previous prime is 12257233. The next prime is 12257243. The reversal of 12257240 is 4275221.

12257240 = T192 + T193 + ... + T431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12257243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153176 + ... + 153255.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 212257240 is an apocalyptic number.

12257240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12257240 is an abundant number, since it is smaller than the sum of its proper divisors (15321640).

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

12257240 is a wasteful number, since it uses less digits than its factorization.

12257240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306442 (or 306438 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 12257240 is about 3501.0341329384. The cubic root of 12257240 is about 230.5672200246.

The spelling of 12257240 in words is "twelve million, two hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 306431 612862 1225724 1532155 2451448 3064310 6128620 12257240