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13426320 = 2435431301
BaseRepresentation
bin110011001101…
…111010010000
3221021010110010
4303031322100
511414120240
61155434520
7222056535
oct63157220
927233403
1013426320
117640436
1245b5a40
132a2128b
141ad6d8c
1512a3280
hexccde90

13426320 has 80 divisors (see below), whose sum is σ = 42622272. Its totient is φ = 3494400.

The previous prime is 13426307. The next prime is 13426327. The reversal of 13426320 is 2362431.

It is a happy number.

13426320 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 (80).

It is not an unprimeable number, because it can be changed into a prime (13426327) 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, 9670 + ... + 10970.

Almost surely, 213426320 is an apocalyptic number.

13426320 is a gapful number since it is divisible by the number (10) 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 13426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311136).

13426320 is an abundant number, since it is smaller than the sum of its proper divisors (29195952).

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

13426320 is a wasteful number, since it uses less digits than its factorization.

13426320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13426320 is about 3664.1943179913. The cubic root of 13426320 is about 237.6761832135.

Adding to 13426320 its reverse (2362431), we get a palindrome (15788751).

The spelling of 13426320 in words is "thirteen million, four hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1301 1720 2064 2580 2602 3440 3903 5160 5204 6505 7806 10320 10408 13010 15612 19515 20816 26020 31224 39030 52040 55943 62448 78060 104080 111886 156120 167829 223772 279715 312240 335658 447544 559430 671316 839145 895088 1118860 1342632 1678290 2237720 2685264 3356580 4475440 6713160 13426320