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13458330 = 2325229653
BaseRepresentation
bin110011010101…
…101110011010
3221022202100200
4303111232122
511421131310
61200243030
7222252054
oct63255632
927282320
1013458330
117662496
124610476
132a32a12
141b048d4
1512ac9c0
hexcd5b9a

13458330 has 48 divisors (see below), whose sum is σ = 35198280. Its totient is φ = 3567744.

The previous prime is 13458323. The next prime is 13458331. The reversal of 13458330 is 3385431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11923209 + 1535121 = 3453^2 + 1239^2 .

It is a super-2 number, since 2×134583302 = 362253292777800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13458294 and 13458303.

It is not an unprimeable number, because it can be changed into a prime (13458331) 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, 20284 + ... + 20936.

Almost surely, 213458330 is an apocalyptic number.

13458330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13458330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599140).

13458330 is an abundant number, since it is smaller than the sum of its proper divisors (21739950).

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

13458330 is a wasteful number, since it uses less digits than its factorization.

13458330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13458330 is about 3668.5596628650. The cubic root of 13458330 is about 237.8649164001.

The spelling of 13458330 in words is "thirteen million, four hundred fifty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 653 687 1145 1306 1374 1959 2061 2290 3265 3435 3918 4122 5877 6530 6870 9795 10305 11754 19590 20610 29385 58770 149537 299074 448611 747685 897222 1345833 1495370 2243055 2691666 4486110 6729165 13458330