Search a number
-
+
12317004 = 22327371321
BaseRepresentation
bin101110111111…
…000101001100
3212011202202100
4232333011030
511123121004
61115555100
7206456430
oct56770514
925152670
1012317004
116a52a47
12415ba90
13272338b
1418c89c0
151134739
hexbbf14c

12317004 has 72 divisors (see below), whose sum is σ = 36571808. Its totient is φ = 3421440.

The previous prime is 12317003. The next prime is 12317033. The reversal of 12317004 is 40071321.

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

It is not an unprimeable number, because it can be changed into a prime (12317003) 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, 8664 + ... + 9984.

Almost surely, 212317004 is an apocalyptic number.

12317004 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 12317004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285904).

12317004 is an abundant number, since it is smaller than the sum of its proper divisors (24254804).

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

12317004 is a wasteful number, since it uses less digits than its factorization.

12317004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12317004 is about 3509.5589466484. The cubic root of 12317004 is about 230.9413467773.

Adding to 12317004 its reverse (40071321), we get a palindrome (52388325).

The spelling of 12317004 in words is "twelve million, three hundred seventeen thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1321 1332 1554 2331 2642 3108 3963 4662 5284 7926 9247 9324 11889 15852 18494 23778 27741 36988 47556 48877 55482 83223 97754 110964 146631 166446 195508 293262 332892 342139 439893 586524 684278 879786 1026417 1368556 1759572 2052834 3079251 4105668 6158502 12317004