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13198236 = 22319107541
BaseRepresentation
bin110010010110…
…001110011100
3220211112120120
4302112032130
511334320421
61150514540
7220116552
oct62261634
926745516
1013198236
1174a5037
124505a50
13297150c
141a77bd2
15125a8c6
hexc9639c

13198236 has 48 divisors (see below), whose sum is σ = 32780160. Its totient is φ = 4121280.

The previous prime is 13198223. The next prime is 13198243. The reversal of 13198236 is 63289131.

13198236 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 is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13198197 and 13198206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24126 + ... + 24666.

It is an arithmetic number, because the mean of its divisors is an integer number (682920).

Almost surely, 213198236 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 13198236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390080).

13198236 is an abundant number, since it is smaller than the sum of its proper divisors (19581924).

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

13198236 is a wasteful number, since it uses less digits than its factorization.

13198236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 13198236 is about 3632.9376542958. The cubic root of 13198236 is about 236.3226220569.

The spelling of 13198236 in words is "thirteen million, one hundred ninety-eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 541 642 1082 1284 1623 2033 2164 3246 4066 6099 6492 8132 10279 12198 20558 24396 30837 41116 57887 61674 115774 123348 173661 231548 347322 694644 1099853 2199706 3299559 4399412 6599118 13198236