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13525116 = 22311791297
BaseRepresentation
bin110011100110…
…000001111100
3221110010222020
4303212001330
511430300431
61201520140
7222650553
oct63460174
927403866
1013525116
1176a8690
124643050
132a57237
141b20d9a
1512c2696
hexce607c

13525116 has 48 divisors (see below), whose sum is σ = 34890240. Its totient is φ = 4043520.

The previous prime is 13525111. The next prime is 13525129. The reversal of 13525116 is 61152531.

13525116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525111) 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, 9780 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (726880).

Almost surely, 213525116 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 13525116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17445120).

13525116 is an abundant number, since it is smaller than the sum of its proper divisors (21365124).

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

13525116 is a wasteful number, since it uses less digits than its factorization.

13525116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 13525116 is about 3677.6508806574. The cubic root of 13525116 is about 238.2577298899.

Adding to 13525116 its reverse (61152531), we get a palindrome (74677647).

The spelling of 13525116 in words is "thirteen million, five hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1297 1738 2594 2607 3476 3891 5188 5214 7782 10428 14267 15564 28534 42801 57068 85602 102463 171204 204926 307389 409852 614778 1127093 1229556 2254186 3381279 4508372 6762558 13525116