Search a number
-
+
12444640 = 2551331193
BaseRepresentation
bin101111011110…
…001111100000
3212102020211121
4233132033200
511141212030
61122422024
7210530515
oct57361740
925366747
1012444640
11702a92a
124201914
1327694c0
14191d30c
15115c47a
hexbde3e0

12444640 has 96 divisors (see below), whose sum is σ = 32852736. Its totient is φ = 4423680.

The previous prime is 12444637. The next prime is 12444659. The reversal of 12444640 is 4644421.

It is a congruent number.

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, 64384 + ... + 64576.

It is an arithmetic number, because the mean of its divisors is an integer number (342216).

Almost surely, 212444640 is an apocalyptic number.

12444640 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 12444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426368).

12444640 is an abundant number, since it is smaller than the sum of its proper divisors (20408096).

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

12444640 is a wasteful number, since it uses less digits than its factorization.

12444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 12444640 is about 3527.6961320386. The cubic root of 12444640 is about 231.7363235033.

The spelling of 12444640 in words is "twelve million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 193 208 248 260 310 386 403 416 496 520 620 772 806 965 992 1040 1240 1544 1612 1930 2015 2080 2480 2509 3088 3224 3860 4030 4960 5018 5983 6176 6448 7720 8060 10036 11966 12545 12896 15440 16120 20072 23932 25090 29915 30880 32240 40144 47864 50180 59830 64480 77779 80288 95728 100360 119660 155558 191456 200720 239320 311116 388895 401440 478640 622232 777790 957280 1244464 1555580 2488928 3111160 6222320 12444640