Search a number
-
+
12241080 = 2332537919
BaseRepresentation
bin101110101100…
…100010111000
3212000220121100
4232230202320
511113203310
61114211400
7206022165
oct56544270
925026540
1012241080
116a009a5
124123b60
1326c7957
1418a906c
15111bec0
hexbac8b8

12241080 has 96 divisors (see below), whose sum is σ = 40903200. Its totient is φ = 3172608.

The previous prime is 12241067. The next prime is 12241081. The reversal of 12241080 is 8014221.

12241080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12861 + ... + 13779.

It is an arithmetic number, because the mean of its divisors is an integer number (426075).

Almost surely, 212241080 is an apocalyptic number.

12241080 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 12241080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20451600).

12241080 is an abundant number, since it is smaller than the sum of its proper divisors (28662120).

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

12241080 is a wasteful number, since it uses less digits than its factorization.

12241080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12241080 is about 3498.7254822292. The cubic root of 12241080 is about 230.4658485108.

It can be divided in two parts, 1224 and 1080, that added together give a square (2304 = 482).

The spelling of 12241080 in words is "twelve million, two hundred forty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 919 1110 1332 1480 1665 1838 2220 2664 2757 3330 3676 4440 4595 5514 6660 7352 8271 9190 11028 13320 13785 16542 18380 22056 27570 33084 34003 36760 41355 55140 66168 68006 82710 102009 110280 136012 165420 170015 204018 272024 306027 330840 340030 408036 510045 612054 680060 816072 1020090 1224108 1360120 1530135 2040180 2448216 3060270 4080360 6120540 12241080