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13454272 = 2613103157
BaseRepresentation
bin110011010100…
…101111000000
3221022112210101
4303110233000
511421014042
61200212144
7222234166
oct63245700
927275711
1013454272
11765a437
12460a054
132a30c10
141b03236
1512ab6b7
hexcd4bc0

13454272 has 56 divisors (see below), whose sum is σ = 29216096. Its totient is φ = 6110208.

The previous prime is 13454269. The next prime is 13454281. The reversal of 13454272 is 27245431.

It is a self number, because there is not a number n which added to its sum of digits gives 13454272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85618 + ... + 85774.

It is an arithmetic number, because the mean of its divisors is an integer number (521716).

Almost surely, 213454272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608048).

13454272 is an abundant number, since it is smaller than the sum of its proper divisors (15761824).

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

13454272 is a wasteful number, since it uses less digits than its factorization.

13454272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 13454272 is about 3668.0065430694. The cubic root of 13454272 is about 237.8410067257.

The spelling of 13454272 in words is "thirteen million, four hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 157 206 208 314 412 416 628 824 832 1256 1339 1648 2041 2512 2678 3296 4082 5024 5356 6592 8164 10048 10712 16171 16328 21424 32342 32656 42848 64684 65312 85696 129368 130624 210223 258736 420446 517472 840892 1034944 1681784 3363568 6727136 13454272