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12441480 = 2335199521
BaseRepresentation
bin101111011101…
…011110001000
3212102002111120
4233131132020
511141111410
61122355240
7210515352
oct57353610
925362446
1012441480
117028517
1241bbb20
132767c2c
14191c0d2
15115b570
hexbdd788

12441480 has 64 divisors (see below), whose sum is σ = 37584000. Its totient is φ = 3294720.

The previous prime is 12441479. The next prime is 12441497. The reversal of 12441480 is 8414421.

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 12441480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23620 + ... + 24140.

It is an arithmetic number, because the mean of its divisors is an integer number (587250).

Almost surely, 212441480 is an apocalyptic number.

12441480 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 12441480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792000).

12441480 is an abundant number, since it is smaller than the sum of its proper divisors (25142520).

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

12441480 is a wasteful number, since it uses less digits than its factorization.

12441480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 12441480 is about 3527.2482192213. The cubic root of 12441480 is about 231.7167073266.

It can be divided in two parts, 12441 and 480, that added together give a palindrome (12921).

The spelling of 12441480 in words is "twelve million, four hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 521 597 796 995 1042 1194 1563 1592 1990 2084 2388 2605 2985 3126 3980 4168 4776 5210 5970 6252 7815 7960 10420 11940 12504 15630 20840 23880 31260 62520 103679 207358 311037 414716 518395 622074 829432 1036790 1244148 1555185 2073580 2488296 3110370 4147160 6220740 12441480