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13190112 = 2532132271
BaseRepresentation
bin110010010100…
…001111100000
3220211010102200
4302110033200
511334040422
61150413200
7220054065
oct62241740
926733380
1013190112
117499a21
124501200
13296a900
141a74c6c
1512582ac
hexc943e0

13190112 has 108 divisors (see below), whose sum is σ = 40766544. Its totient is φ = 4043520.

The previous prime is 13190083. The next prime is 13190117. The reversal of 13190112 is 21109131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13190117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48537 + ... + 48807.

It is an arithmetic number, because the mean of its divisors is an integer number (377468).

Almost surely, 213190112 is an apocalyptic number.

13190112 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 13190112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383272).

13190112 is an abundant number, since it is smaller than the sum of its proper divisors (27576432).

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

13190112 is a wasteful number, since it uses less digits than its factorization.

13190112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 13190112 is about 3631.8193787687. The cubic root of 13190112 is about 236.2741236809.

Adding to 13190112 its reverse (21109131), we get a palindrome (34299243).

The spelling of 13190112 in words is "thirteen million, one hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 271 288 312 338 416 468 507 542 624 676 813 936 1014 1084 1248 1352 1521 1626 1872 2028 2168 2439 2704 3042 3252 3523 3744 4056 4336 4878 5408 6084 6504 7046 8112 8672 9756 10569 12168 13008 14092 16224 19512 21138 24336 26016 28184 31707 39024 42276 45799 48672 56368 63414 78048 84552 91598 112736 126828 137397 169104 183196 253656 274794 338208 366392 412191 507312 549588 732784 824382 1014624 1099176 1465568 1648764 2198352 3297528 4396704 6595056 13190112