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13046272 = 2983307
BaseRepresentation
bin110001110001…
…001000000000
3220112211010021
4301301020000
511314440042
61143343224
7215614531
oct61611000
926484107
1013046272
117400948
124451b14
13291a2b5
141a38688
15122a867
hexc71200

13046272 has 40 divisors (see below), whose sum is σ = 26467056. Its totient is φ = 6423552.

The previous prime is 13046269. The next prime is 13046279. The reversal of 13046272 is 27264031.

It is not an unprimeable number, because it can be changed into a prime (13046279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42343 + ... + 42649.

Almost surely, 213046272 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 13046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233528).

13046272 is an abundant number, since it is smaller than the sum of its proper divisors (13420784).

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

13046272 is an frugal number, since it uses more digits than its factorization.

13046272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 13046272 is about 3611.9623475335. The cubic root of 13046272 is about 235.4121152469.

The spelling of 13046272 in words is "thirteen million, forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 307 332 512 614 664 1228 1328 2456 2656 4912 5312 9824 10624 19648 21248 25481 39296 42496 50962 78592 101924 157184 203848 407696 815392 1630784 3261568 6523136 13046272