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13424256 = 273243271
BaseRepresentation
bin110011001101…
…011010000000
3221021000121200
4303031122000
511414034011
61155421200
7222050526
oct63153200
927230550
1013424256
11763992a
1245b4800
132a20361
141ad6316
1512a2856
hexccd680

13424256 has 96 divisors (see below), whose sum is σ = 39673920. Its totient is φ = 4354560.

The previous prime is 13424231. The next prime is 13424263. The reversal of 13424256 is 65242431.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49401 + ... + 49671.

It is an arithmetic number, because the mean of its divisors is an integer number (413270).

Almost surely, 213424256 is an apocalyptic number.

13424256 is a gapful number since it is divisible by the number (16) 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 13424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19836960).

13424256 is an abundant number, since it is smaller than the sum of its proper divisors (26249664).

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

13424256 is a wasteful number, since it uses less digits than its factorization.

13424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 13424256 is about 3663.9126627145. The cubic root of 13424256 is about 237.6640034357.

Adding to 13424256 its reverse (65242431), we get a palindrome (78666687).

It can be divided in two parts, 1342425 and 6, that added together give a palindrome (1342431).

The spelling of 13424256 in words is "thirteen million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 271 288 344 384 387 516 542 576 688 774 813 1032 1084 1152 1376 1548 1626 2064 2168 2439 2752 3096 3252 4128 4336 4878 5504 6192 6504 8256 8672 9756 11653 12384 13008 16512 17344 19512 23306 24768 26016 34688 34959 39024 46612 49536 52032 69918 78048 93224 104064 104877 139836 156096 186448 209754 279672 312192 372896 419508 559344 745792 839016 1118688 1491584 1678032 2237376 3356064 4474752 6712128 13424256