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13054314 = 2371323909
BaseRepresentation
bin110001110011…
…000101101010
3220120020011010
4301303011222
511320214224
61143444350
7215650140
oct61630552
926506133
1013054314
117406999
1244566b6
132920b60
141a3b590
15122ce29
hexc7316a

13054314 has 32 divisors (see below), whose sum is σ = 32135040. Its totient is φ = 3442752.

The previous prime is 13054313. The next prime is 13054331. The reversal of 13054314 is 41345031.

13054314 = T612 + T613 + ... + T674.

13054314 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130543142 = 340830228021192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13054313) 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, 11409 + ... + 12500.

It is an arithmetic number, because the mean of its divisors is an integer number (1004220).

Almost surely, 213054314 is an apocalyptic number.

13054314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13054314 is an abundant number, since it is smaller than the sum of its proper divisors (19080726).

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

13054314 is a wasteful number, since it uses less digits than its factorization.

13054314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23934.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13054314 is about 3613.0754212997. The cubic root of 13054314 is about 235.4604763257.

Adding to 13054314 its reverse (41345031), we get a palindrome (54399345).

The spelling of 13054314 in words is "thirteen million, fifty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 23909 47818 71727 143454 167363 310817 334726 502089 621634 932451 1004178 1864902 2175719 4351438 6527157 13054314