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13431054 = 23713171447
BaseRepresentation
bin110011001111…
…000100001110
3221021100221110
4303033010032
511414243204
61155512450
7222106410
oct63170416
927240843
1013431054
117643a4a
1245b8726
132a23490
141ad89b0
1512a4889
hexccf10e

13431054 has 64 divisors (see below), whose sum is σ = 35030016. Its totient is φ = 3331584.

The previous prime is 13431053. The next prime is 13431059. The reversal of 13431054 is 45013431.

13431054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13431054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8559 + ... + 10005.

It is an arithmetic number, because the mean of its divisors is an integer number (547344).

Almost surely, 213431054 is an apocalyptic number.

13431054 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 13431054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515008).

13431054 is an abundant number, since it is smaller than the sum of its proper divisors (21598962).

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

13431054 is a wasteful number, since it uses less digits than its factorization.

13431054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489.

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

The square root of 13431054 is about 3664.8402420842. The cubic root of 13431054 is about 237.7041140944.

Adding to 13431054 its reverse (45013431), we get a palindrome (58444485).

The spelling of 13431054 in words is "thirteen million, four hundred thirty-one thousand, fifty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1447 1547 2894 3094 4341 4641 8682 9282 10129 18811 20258 24599 30387 37622 49198 56433 60774 73797 112866 131677 147594 172193 263354 319787 344386 395031 516579 639574 790062 959361 1033158 1918722 2238509 4477018 6715527 13431054