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12243672 = 23327171429
BaseRepresentation
bin101110101101…
…001011011000
3212001001011100
4232231023120
511113244142
61114231400
7206032560
oct56551330
925031140
1012243672
116a02941
124125560
1326c8b9c
1418a9da0
15111cb4c
hexbad2d8

12243672 has 96 divisors (see below), whose sum is σ = 40154400. Its totient is φ = 3290112.

The previous prime is 12243661. The next prime is 12243701. The reversal of 12243672 is 27634221.

It is a nude number because it is divisible by every one of its digits.

12243672 is a modest number, since divided by 3672 gives 1224 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7854 + ... + 9282.

It is an arithmetic number, because the mean of its divisors is an integer number (418275).

Almost surely, 212243672 is an apocalyptic number.

12243672 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 12243672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077200).

12243672 is an abundant number, since it is smaller than the sum of its proper divisors (27910728).

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

12243672 is a wasteful number, since it uses less digits than its factorization.

12243672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1458 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12243672 is about 3499.0958832247. The cubic root of 12243672 is about 230.4821141051.

Adding to 12243672 its reverse (27634221), we get a palindrome (39877893).

The spelling of 12243672 in words is "twelve million, two hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 1429 2142 2856 2858 4284 4287 5716 8568 8574 10003 11432 12861 17148 20006 24293 25722 30009 34296 40012 48586 51444 60018 72879 80024 90027 97172 102888 120036 145758 170051 180054 194344 218637 240072 291516 340102 360108 437274 510153 583032 680204 720216 874548 1020306 1360408 1530459 1749096 2040612 3060918 4081224 6121836 12243672