Search a number
-
+
13833204 = 22371121361
BaseRepresentation
bin110100110001…
…001111110100
3222000210120220
4310301033310
512020130304
61212254340
7225403020
oct64611764
928023526
1013833204
117899100
1247713b0
132b34538
141ba1380
151333ad9
hexd313f4

13833204 has 72 divisors (see below), whose sum is σ = 40576704. Its totient is φ = 3590400.

The previous prime is 13833191. The next prime is 13833247. The reversal of 13833204 is 40233831.

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, 9484 + ... + 10844.

Almost surely, 213833204 is an apocalyptic number.

13833204 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 13833204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288352).

13833204 is an abundant number, since it is smaller than the sum of its proper divisors (26743500).

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

13833204 is a wasteful number, since it uses less digits than its factorization.

13833204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13833204 is about 3719.3015473339. The cubic root of 13833204 is about 240.0532520723.

The spelling of 13833204 in words is "thirteen million, eight hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1361 1452 1694 2541 2722 3388 4083 5082 5444 8166 9527 10164 14971 16332 19054 28581 29942 38108 44913 57162 59884 89826 104797 114324 164681 179652 209594 314391 329362 419188 494043 628782 658724 988086 1152767 1257564 1976172 2305534 3458301 4611068 6916602 13833204