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12544240 = 245295407
BaseRepresentation
bin101111110110…
…100011110000
3212121022110111
4233312203300
511202403430
61124511104
7211424062
oct57664360
925538414
1012544240
117098745
12424b494
1327a2937
141947732
15117bc2a
hexbf68f0

12544240 has 40 divisors (see below), whose sum is σ = 30176640. Its totient is φ = 4843776.

The previous prime is 12544229. The next prime is 12544241. The reversal of 12544240 is 4244521.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544241) 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, 384 + ... + 5023.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 212544240 is an apocalyptic number.

12544240 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 12544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088320).

12544240 is an abundant number, since it is smaller than the sum of its proper divisors (17632400).

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

12544240 is a wasteful number, since it uses less digits than its factorization.

12544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 12544240 is about 3541.7848607729. The cubic root of 12544240 is about 232.3529111662.

Adding to 12544240 its reverse (4244521), we get a palindrome (16788761).

The spelling of 12544240 in words is "twelve million, five hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5407 10814 21628 27035 43256 54070 86512 108140 156803 216280 313606 432560 627212 784015 1254424 1568030 2508848 3136060 6272120 12544240