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13726242 = 23217311447
BaseRepresentation
bin110100010111…
…001000100010
3221211100212100
4310113020202
512003214432
61210111230
7224446125
oct64271042
927740770
1013726242
117825802
12471b516
132ac794a
141b743bc
15131207c
hexd17222

13726242 has 48 divisors (see below), whose sum is σ = 32527872. Its totient is φ = 4164480.

The previous prime is 13726201. The next prime is 13726249. The reversal of 13726242 is 24262731.

13726242 is a `hidden beast` number, since 1 + 37 + 2 + 624 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13726249) 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, 8763 + ... + 10209.

It is an arithmetic number, because the mean of its divisors is an integer number (677664).

Almost surely, 213726242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13726242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263936).

13726242 is an abundant number, since it is smaller than the sum of its proper divisors (18801630).

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

13726242 is a wasteful number, since it uses less digits than its factorization.

13726242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1500 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13726242 is about 3704.8943304769. The cubic root of 13726242 is about 239.4329320299.

Adding to 13726242 its reverse (24262731), we get a palindrome (37988973).

The spelling of 13726242 in words is "thirteen million, seven hundred twenty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1447 1581 2894 3162 4341 4743 8682 9486 13023 24599 26046 44857 49198 73797 89714 134571 147594 221391 269142 403713 442782 762569 807426 1525138 2287707 4575414 6863121 13726242