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13145454 = 2327172192
BaseRepresentation
bin110010001001…
…010101101110
3220201212011200
4302021111232
511331123304
61145430330
7216506640
oct62112556
926655150
1013145454
117469413
12449b3a6
13295349a
141a62890
151249e39
hexc8956e

13145454 has 108 divisors (see below), whose sum is σ = 36493704. Its totient is φ = 3348864.

The previous prime is 13145449. The next prime is 13145479. The reversal of 13145454 is 45454131.

It is a happy number.

13145454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131454542 = 345605921732232, which contains 22 as substring.

Its product of digits (4800) is a multiple of the sum of its prime divisors (48).

13145454 is a modest number, since divided by 5454 gives 1314 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 691857 + ... + 691875.

Almost surely, 213145454 is an apocalyptic number.

13145454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13145454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246852).

13145454 is an abundant number, since it is smaller than the sum of its proper divisors (23348250).

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

13145454 is a wasteful number, since it uses less digits than its factorization.

13145454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 13145454 is about 3625.6660077839. Note that the first 3 decimals coincide. The cubic root of 13145454 is about 236.0071696567.

Adding to 13145454 its reverse (45454131), we get a palindrome (58599585).

The spelling of 13145454 in words is "thirteen million, one hundred forty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 289 306 323 342 357 361 399 578 646 714 722 798 867 969 1071 1083 1197 1734 1938 2023 2142 2166 2261 2394 2527 2601 2907 3249 4046 4522 5054 5202 5491 5814 6069 6137 6498 6783 7581 10982 12138 12274 13566 15162 16473 18207 18411 20349 22743 32946 36414 36822 38437 40698 42959 45486 49419 55233 76874 85918 98838 104329 110466 115311 128877 208658 230622 257754 312987 345933 386631 625974 691866 730303 773262 938961 1460606 1877922 2190909 4381818 6572727 13145454