Search a number
-
+
12189632 = 267213223
BaseRepresentation
bin101110011111…
…111111000000
3211221022000212
4232133333000
511110032012
61113133252
7205416200
oct56377700
924838025
1012189632
116976284
1240ba228
1326aa400
141894400
15110bb22
hexb9ffc0

12189632 has 126 divisors (see below), whose sum is σ = 31793688. Its totient is φ = 4612608.

The previous prime is 12189631. The next prime is 12189647. The reversal of 12189632 is 23698121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12189631) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 529973 + ... + 529995.

Almost surely, 212189632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12189632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896844).

12189632 is an abundant number, since it is smaller than the sum of its proper divisors (19604056).

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

12189632 is a wasteful number, since it uses less digits than its factorization.

12189632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 12189632 is about 3491.3653489717. The cubic root of 12189632 is about 230.1425203641.

It can be divided in two parts, 12189 and 632, that added together give a palindrome (12821).

The spelling of 12189632 in words is "twelve million, one hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 49 52 56 64 91 92 98 104 112 161 169 182 184 196 208 224 299 322 338 364 368 392 416 448 598 637 644 676 728 736 784 832 1127 1183 1196 1274 1288 1352 1456 1472 1568 2093 2254 2366 2392 2548 2576 2704 2912 3136 3887 4186 4508 4732 4784 5096 5152 5408 5824 7774 8281 8372 9016 9464 9568 10192 10304 10816 14651 15548 16562 16744 18032 18928 19136 20384 27209 29302 31096 33124 33488 36064 37856 40768 54418 58604 62192 66248 66976 72128 75712 108836 117208 124384 132496 133952 190463 217672 234416 248768 264992 380926 435344 468832 529984 761852 870688 937664 1523704 1741376 3047408 6094816 12189632