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13324736 = 261737331
BaseRepresentation
bin110010110101…
…000111000000
3221001222002202
4302311013000
511402342421
61153332332
7221154425
oct62650700
927058082
1013324736
117581087
1245670a8
1329b6c79
141aabd4c
15128310b
hexcb51c0

13324736 has 56 divisors (see below), whose sum is σ = 28840176. Its totient is φ = 6082560.

The previous prime is 13324687. The next prime is 13324741. The reversal of 13324736 is 63742331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13324699 and 13324708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40091 + ... + 40421.

Almost surely, 213324736 is an apocalyptic number.

13324736 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 13324736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420088).

13324736 is an abundant number, since it is smaller than the sum of its proper divisors (15515440).

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

13324736 is a wasteful number, since it uses less digits than its factorization.

13324736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its digits is 9072, while the sum is 29.

The square root of 13324736 is about 3650.3062885188. The cubic root of 13324736 is about 237.0752430121.

The spelling of 13324736 in words is "thirteen million, three hundred twenty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 272 296 331 544 592 629 662 1088 1184 1258 1324 2368 2516 2648 5032 5296 5627 10064 10592 11254 12247 20128 21184 22508 24494 40256 45016 48988 90032 97976 180064 195952 208199 360128 391904 416398 783808 832796 1665592 3331184 6662368 13324736