Search a number
-
+
13636242 = 233673769
BaseRepresentation
bin110100000001…
…001010010010
3221122210102000
4310001022102
511442324432
61204134430
7223622544
oct64011222
927583360
1013636242
117774124
124697416
132a959a9
141b4d694
1512e557c
hexd01292

13636242 has 32 divisors (see below), whose sum is σ = 30763200. Its totient is φ = 4476384.

The previous prime is 13636237. The next prime is 13636247. The reversal of 13636242 is 24263631.

13636242 is a `hidden beast` number, since 1 + 3 + 636 + 24 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13636237) and next prime (13636247).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13636247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734 + ... + 5502.

It is an arithmetic number, because the mean of its divisors is an integer number (961350).

Almost surely, 213636242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13636242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381600).

13636242 is an abundant number, since it is smaller than the sum of its proper divisors (17126958).

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

13636242 is a wasteful number, since it uses less digits than its factorization.

13636242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 13636242 is about 3692.7282597018. The cubic root of 13636242 is about 238.9084808001.

Adding to 13636242 its reverse (24263631), we get a palindrome (37899873).

The spelling of 13636242 in words is "thirteen million, six hundred thirty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 3769 7538 11307 22614 33921 67842 101763 203526 252523 505046 757569 1515138 2272707 4545414 6818121 13636242