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13249314 = 23213411381
BaseRepresentation
bin110010100010…
…101100100010
3220221010122100
4302202230202
511342434224
61151551230
7220421511
oct62425442
926833570
1013249314
11752a451
12452b516
13298b840
141a8c678
15126aac9
hexca2b22

13249314 has 48 divisors (see below), whose sum is σ = 31692024. Its totient is φ = 3974400.

The previous prime is 13249303. The next prime is 13249319. The reversal of 13249314 is 41394231.

It can be written as a sum of positive squares in 4 ways, for example, as 5212089 + 8037225 = 2283^2 + 2835^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13249319) 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, 8904 + ... + 10284.

Almost surely, 213249314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13249314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846012).

13249314 is an abundant number, since it is smaller than the sum of its proper divisors (18442710).

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

13249314 is a wasteful number, since it uses less digits than its factorization.

13249314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1440 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13249314 is about 3639.9607140737. The cubic root of 13249314 is about 236.6270907396.

The spelling of 13249314 in words is "thirteen million, two hundred forty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1381 1599 2762 3198 4143 4797 8286 9594 12429 17953 24858 35906 53859 56621 107718 113242 161577 169863 323154 339726 509589 736073 1019178 1472146 2208219 4416438 6624657 13249314