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13505112 = 23321071753
BaseRepresentation
bin110011100001…
…001001011000
3221102010112100
4303201021120
511424130422
61201243400
7222535335
oct63411130
927363470
1013505112
117694655
124633560
132a4b0ba
141b1798c
1512bb7ac
hexce1258

13505112 has 48 divisors (see below), whose sum is σ = 36939240. Its totient is φ = 4457088.

The previous prime is 13505099. The next prime is 13505137. The reversal of 13505112 is 21150531.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6828 + ... + 8580.

Almost surely, 213505112 is an apocalyptic number.

13505112 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 13505112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469620).

13505112 is an abundant number, since it is smaller than the sum of its proper divisors (23434128).

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

13505112 is a wasteful number, since it uses less digits than its factorization.

13505112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 13505112 is about 3674.9302034188. The cubic root of 13505112 is about 238.1402087957.

Adding to 13505112 its reverse (21150531), we get a palindrome (34655643).

The spelling of 13505112 in words is "thirteen million, five hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1753 1926 2568 3506 3852 5259 7012 7704 10518 14024 15777 21036 31554 42072 63108 126216 187571 375142 562713 750284 1125426 1500568 1688139 2250852 3376278 4501704 6752556 13505112