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13116460 = 2257194931
BaseRepresentation
bin110010000010…
…010000101100
3220200101101211
4302002100230
511324211320
61145044204
7216326260
oct62022054
926611354
1013116460
117449655
124486664
132943226
141a560a0
15124155a
hexc8242c

13116460 has 48 divisors (see below), whose sum is σ = 33143040. Its totient is φ = 4259520.

The previous prime is 13116443. The next prime is 13116461. The reversal of 13116460 is 6461131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13116461) 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, 195 + ... + 5125.

It is an arithmetic number, because the mean of its divisors is an integer number (690480).

Almost surely, 213116460 is an apocalyptic number.

13116460 is a gapful number since it is divisible by the number (10) 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 13116460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571520).

13116460 is an abundant number, since it is smaller than the sum of its proper divisors (20026580).

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

13116460 is a wasteful number, since it uses less digits than its factorization.

13116460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13116460 is about 3621.6653627855. The cubic root of 13116460 is about 235.8335271453.

Adding to 13116460 its reverse (6461131), we get a palindrome (19577591).

The spelling of 13116460 in words is "thirteen million, one hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 4931 9862 19724 24655 34517 49310 69034 93689 98620 138068 172585 187378 345170 374756 468445 655823 690340 936890 1311646 1873780 2623292 3279115 6558230 13116460