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13242112 = 281323173
BaseRepresentation
bin110010100000…
…111100000000
3220220202202121
4302200330000
511342221422
61151454024
7220361512
oct62407400
926822677
1013242112
117524aa4
124527314
132988490
141a89bb2
1512688c7
hexca0f00

13242112 has 72 divisors (see below), whose sum is σ = 29875104. Its totient is φ = 5812224.

The previous prime is 13242101. The next prime is 13242121. The reversal of 13242112 is 21124231.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 76458 + ... + 76630.

It is an arithmetic number, because the mean of its divisors is an integer number (414932).

Almost surely, 213242112 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 13242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937552).

13242112 is an abundant number, since it is smaller than the sum of its proper divisors (16632992).

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

13242112 is a wasteful number, since it uses less digits than its factorization.

13242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 13242112 is about 3638.9712832063. The cubic root of 13242112 is about 236.5842080871.

Adding to 13242112 its reverse (21124231), we get a palindrome (34366343).

The spelling of 13242112 in words is "thirteen million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 173 184 208 256 299 346 368 416 598 692 736 832 1196 1384 1472 1664 2249 2392 2768 2944 3328 3979 4498 4784 5536 5888 7958 8996 9568 11072 15916 17992 19136 22144 31832 35984 38272 44288 51727 63664 71968 76544 103454 127328 143936 206908 254656 287872 413816 509312 575744 827632 1018624 1655264 3310528 6621056 13242112