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13505232 = 2431323941
BaseRepresentation
bin110011100001…
…001011010000
3221102010200210
4303201023100
511424131412
61201244120
7222535566
oct63411320
927363623
1013505232
117694754
124633640
132a4b180
141b17a36
1512bb83c
hexce12d0

13505232 has 80 divisors (see below), whose sum is σ = 39247488. Its totient is φ = 3970560.

The previous prime is 13505227. The next prime is 13505263. The reversal of 13505232 is 23250531.

It is a junction number, because it is equal to n+sod(n) for n = 13505199 and 13505208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13882 + ... + 14822.

Almost surely, 213505232 is an apocalyptic number.

13505232 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 13505232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623744).

13505232 is an abundant number, since it is smaller than the sum of its proper divisors (25742256).

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

13505232 is a wasteful number, since it uses less digits than its factorization.

13505232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 13505232 is about 3674.9465302233. The cubic root of 13505232 is about 238.1409141271.

Adding to 13505232 its reverse (23250531), we get a palindrome (36755763).

The spelling of 13505232 in words is "thirteen million, five hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 941 1104 1196 1794 1882 2392 2823 3588 3764 4784 5646 7176 7528 11292 12233 14352 15056 21643 22584 24466 36699 43286 45168 48932 64929 73398 86572 97864 129858 146796 173144 195728 259716 281359 293592 346288 519432 562718 587184 844077 1038864 1125436 1688154 2250872 3376308 4501744 6752616 13505232