Search a number
-
+
12170424 = 2337279131
BaseRepresentation
bin101110011011…
…010010111000
3211220022200110
4232123102320
511103423144
61112504320
7205306200
oct56332270
924808613
1012170424
116962902
1240ab0a0
1326a1746
14188b400
1511060b9
hexb9b4b8

12170424 has 96 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 3407040.

The previous prime is 12170407. The next prime is 12170437. The reversal of 12170424 is 42407121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12170424.

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, 92839 + ... + 92969.

It is an arithmetic number, because the mean of its divisors is an integer number (376200).

Almost surely, 212170424 is an apocalyptic number.

12170424 is a gapful number since it is divisible by the number (14) 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 12170424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

12170424 is an abundant number, since it is smaller than the sum of its proper divisors (23944776).

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

12170424 is a wasteful number, since it uses less digits than its factorization.

12170424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 12170424 is about 3488.6134781601. The cubic root of 12170424 is about 230.0215732757.

Adding to 12170424 its reverse (42407121), we get a palindrome (54577545).

The spelling of 12170424 in words is "twelve million, one hundred seventy thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 131 147 158 168 196 237 262 294 316 392 393 474 524 553 588 632 786 917 948 1048 1106 1176 1572 1659 1834 1896 2212 2751 3144 3318 3668 3871 4424 5502 6419 6636 7336 7742 10349 11004 11613 12838 13272 15484 19257 20698 22008 23226 25676 30968 31047 38514 41396 46452 51352 62094 72443 77028 82792 92904 124188 144886 154056 217329 248376 289772 434658 507101 579544 869316 1014202 1521303 1738632 2028404 3042606 4056808 6085212 12170424