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12438240 = 253525913
BaseRepresentation
bin101111011100…
…101011100000
3212101221001120
4233130223200
511141010430
61122332240
7210503043
oct57345340
925357046
1012438240
117026041
1241ba080
132766609
14191ac5a
15115a610
hexbdcae0

12438240 has 48 divisors (see below), whose sum is σ = 39181968. Its totient is φ = 3316736.

The previous prime is 12438227. The next prime is 12438247. The reversal of 12438240 is 4283421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12438240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438247) 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 7 ways as a sum of consecutive naturals, for example, 12477 + ... + 13436.

It is an arithmetic number, because the mean of its divisors is an integer number (816291).

Almost surely, 212438240 is an apocalyptic number.

12438240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12438240 is an abundant number, since it is smaller than the sum of its proper divisors (26743728).

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

12438240 is a wasteful number, since it uses less digits than its factorization.

12438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25931 (or 25923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12438240 is about 3526.7889077743. The cubic root of 12438240 is about 231.6965910887.

The spelling of 12438240 in words is "twelve million, four hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25913 51826 77739 103652 129565 155478 207304 259130 310956 388695 414608 518260 621912 777390 829216 1036520 1243824 1554780 2073040 2487648 3109560 4146080 6219120 12438240