Search a number
-
+
12189960 = 2333511287
BaseRepresentation
bin101110100000…
…000100001000
3211221022111000
4232200010020
511110034320
61113135000
7205420146
oct56400410
924838430
1012189960
116976552
1240ba460
1326aa5c3
141894596
15110bc90
hexba0108

12189960 has 64 divisors (see below), whose sum is σ = 40636800. Its totient is φ = 3250368.

The previous prime is 12189959. The next prime is 12189979. The reversal of 12189960 is 6998121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4564 + ... + 6723.

It is an arithmetic number, because the mean of its divisors is an integer number (634950).

Almost surely, 212189960 is an apocalyptic number.

12189960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12189960 is an abundant number, since it is smaller than the sum of its proper divisors (28446840).

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

12189960 is a wasteful number, since it uses less digits than its factorization.

12189960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12189960 is about 3491.4123216830. The cubic root of 12189960 is about 230.1445845793.

The spelling of 12189960 in words is "twelve million, one hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 11287 22574 33861 45148 56435 67722 90296 101583 112870 135444 169305 203166 225740 270888 304749 338610 406332 451480 507915 609498 677220 812664 1015830 1218996 1354440 1523745 2031660 2437992 3047490 4063320 6094980 12189960