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12441072 = 243761607
BaseRepresentation
bin101111011101…
…010111110000
3212102001221110
4233131113300
511141103242
61122353320
7210514230
oct57352760
925361843
1012441072
117028186
1241bb840
1327679a7
14191bcc0
15115b39c
hexbdd5f0

12441072 has 80 divisors (see below), whose sum is σ = 37394432. Its totient is φ = 3490560.

The previous prime is 12441049. The next prime is 12441089. The reversal of 12441072 is 27014421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 20193 + ... + 20799.

Almost surely, 212441072 is an apocalyptic number.

12441072 is a gapful number since it is divisible by the number (12) 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 12441072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697216).

12441072 is an abundant number, since it is smaller than the sum of its proper divisors (24953360).

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

12441072 is a wasteful number, since it uses less digits than its factorization.

12441072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 12441072 is about 3527.1903832938. The cubic root of 12441072 is about 231.7141743629.

Adding to 12441072 its reverse (27014421), we get a palindrome (39455493).

The spelling of 12441072 in words is "twelve million, four hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 607 732 854 976 1214 1281 1464 1708 1821 2428 2562 2928 3416 3642 4249 4856 5124 6832 7284 8498 9712 10248 12747 14568 16996 20496 25494 29136 33992 37027 50988 67984 74054 101976 111081 148108 203952 222162 259189 296216 444324 518378 592432 777567 888648 1036756 1555134 1777296 2073512 3110268 4147024 6220536 12441072