Search a number
-
+
12231072 = 253276067
BaseRepresentation
bin101110101010…
…000110100000
3212000101212200
4232222012200
511112343242
61114053200
7205651050
oct56520640
925011780
1012231072
1169a4427
12411a200
1326c3229
1418a5560
15111904c
hexbaa1a0

12231072 has 72 divisors (see below), whose sum is σ = 39757536. Its totient is φ = 3494016.

The previous prime is 12231061. The next prime is 12231073. The reversal of 12231072 is 27013221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12231073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018 + ... + 5049.

It is an arithmetic number, because the mean of its divisors is an integer number (552188).

Almost surely, 212231072 is an apocalyptic number.

12231072 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 12231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19878768).

12231072 is an abundant number, since it is smaller than the sum of its proper divisors (27526464).

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

12231072 is a wasteful number, since it uses less digits than its factorization.

12231072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12231072 is about 3497.2949546757. The cubic root of 12231072 is about 230.4030236872.

Adding to 12231072 its reverse (27013221), we get a palindrome (39244293).

The spelling of 12231072 in words is "twelve million, two hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6067 12134 18201 24268 36402 42469 48536 54603 72804 84938 97072 109206 127407 145608 169876 194144 218412 254814 291216 339752 382221 436824 509628 582432 679504 764442 873648 1019256 1359008 1528884 1747296 2038512 3057768 4077024 6115536 12231072