Search a number
-
+
13031604 = 223641109
BaseRepresentation
bin110001101101…
…100010110100
3220112002000000
4301231202310
511314002404
61143151300
7215524005
oct61554264
926462000
1013031604
1173a0923
124445530
132913711
141a331ac
151226339
hexc6d8b4

13031604 has 84 divisors (see below), whose sum is σ = 35347620. Its totient is φ = 4199040.

The previous prime is 13031561. The next prime is 13031617. The reversal of 13031604 is 40613031.

13031604 is a `hidden beast` number, since 1 + 30 + 31 + 604 = 666.

13031604 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 8820900 = 2052^2 + 2970^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119502 + ... + 119610.

It is an arithmetic number, because the mean of its divisors is an integer number (420805).

Almost surely, 213031604 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 13031604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17673810).

13031604 is an abundant number, since it is smaller than the sum of its proper divisors (22316016).

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

13031604 is a wasteful number, since it uses less digits than its factorization.

13031604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13031604 is about 3609.9313012854. The cubic root of 13031604 is about 235.3238570890.

Adding to 13031604 its reverse (40613031), we get a palindrome (53644635).

The spelling of 13031604 in words is "thirteen million, thirty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 109 123 162 164 218 243 246 324 327 369 436 486 492 654 729 738 972 981 1107 1308 1458 1476 1962 2214 2916 2943 3321 3924 4428 4469 5886 6642 8829 8938 9963 11772 13284 13407 17658 17876 19926 26487 26814 29889 35316 39852 40221 52974 53628 59778 79461 80442 105948 119556 120663 158922 160884 241326 317844 361989 482652 723978 1085967 1447956 2171934 3257901 4343868 6515802 13031604