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13024704 = 263711881
BaseRepresentation
bin110001101011…
…110111000000
3220111201112110
4301223313000
511313242304
61143055320
7215464620
oct61536700
926451473
1013024704
117396720
124441540
132910534
141a30880
151224289
hexc6bdc0

13024704 has 112 divisors (see below), whose sum is σ = 43013376. Its totient is φ = 3379200.

The previous prime is 13024699. The next prime is 13024721. The reversal of 13024704 is 40742031.

13024704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14344 + ... + 15224.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 213024704 is an apocalyptic number.

13024704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13024704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506688).

13024704 is an abundant number, since it is smaller than the sum of its proper divisors (29988672).

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

13024704 is a wasteful number, since it uses less digits than its factorization.

13024704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13024704 is about 3608.9754778884. The cubic root of 13024704 is about 235.2823165062.

Adding to 13024704 its reverse (40742031), we get a palindrome (53766735).

It can be divided in two parts, 1302 and 4704, that added together give a palindrome (6006).

The spelling of 13024704 in words is "thirteen million, twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 881 924 1056 1232 1344 1762 1848 2112 2464 2643 3524 3696 4928 5286 6167 7048 7392 9691 10572 12334 14096 14784 18501 19382 21144 24668 28192 29073 37002 38764 42288 49336 56384 58146 67837 74004 77528 84576 98672 116292 135674 148008 155056 169152 197344 203511 232584 271348 296016 310112 394688 407022 465168 542696 592032 620224 814044 930336 1085392 1184064 1628088 1860672 2170784 3256176 4341568 6512352 13024704