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13313430 = 2335133793
BaseRepresentation
bin110010110010…
…010110010110
3221001101121000
4302302112112
511402012210
61153204130
7221106444
oct62622626
927041530
1013313430
117573639
124560646
1329b1a90
141aa7b94
15127eac0
hexcb2596

13313430 has 64 divisors (see below), whose sum is σ = 38243520. Its totient is φ = 3276288.

The previous prime is 13313429. The next prime is 13313453. The reversal of 13313430 is 3431331.

13313430 is nontrivially palindromic in base 8.

13313430 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1614 + ... + 5406.

It is an arithmetic number, because the mean of its divisors is an integer number (597555).

Almost surely, 213313430 is an apocalyptic number.

13313430 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 13313430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121760).

13313430 is an abundant number, since it is smaller than the sum of its proper divisors (24930090).

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

13313430 is a wasteful number, since it uses less digits than its factorization.

13313430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13313430 is about 3648.7573227059. The cubic root of 13313430 is about 237.0081714856.

Adding to 13313430 its reverse (3431331), we get a palindrome (16744761).

It can be divided in two parts, 1331 and 3430, that added together give a square (4761 = 692).

The spelling of 13313430 in words is "thirteen million, three hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 3793 7586 11379 18965 22758 34137 37930 49309 56895 68274 98618 102411 113790 147927 170685 204822 246545 295854 341370 443781 493090 512055 739635 887562 1024110 1331343 1479270 2218905 2662686 4437810 6656715 13313430