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13240032 = 253131032
BaseRepresentation
bin110010100000…
…011011100000
3220220122220120
4302200123200
511342140112
61151440240
7220352451
oct62403340
926818816
1013240032
117523483
124526080
132987550
141a89128
151267e8c
hexca06e0

13240032 has 72 divisors (see below), whose sum is σ = 37795464. Its totient is φ = 4034304.

The previous prime is 13240021. The next prime is 13240049. The reversal of 13240032 is 23004231.

It is a super-2 number, since 2×132400322 = 350596894722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13239993 and 13240020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128493 + ... + 128595.

It is an arithmetic number, because the mean of its divisors is an integer number (524937).

Almost surely, 213240032 is an apocalyptic number.

13240032 is a gapful number since it is divisible by the number (12) 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 13240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897732).

13240032 is an abundant number, since it is smaller than the sum of its proper divisors (24555432).

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

13240032 is a wasteful number, since it uses less digits than its factorization.

13240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13240032 is about 3638.6854769271. The cubic root of 13240032 is about 236.5718203119.

Adding to 13240032 its reverse (23004231), we get a palindrome (36244263).

The spelling of 13240032 in words is "thirteen million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 2472 2678 3296 4017 4944 5356 8034 9888 10609 10712 16068 21218 21424 31827 32136 42436 42848 63654 64272 84872 127308 128544 137917 169744 254616 275834 339488 413751 509232 551668 827502 1018464 1103336 1655004 2206672 3310008 4413344 6620016 13240032