Search a number
-
+
13198692 = 22313196173
BaseRepresentation
bin110010010110…
…010101100100
3220211120012110
4302112111210
511334324232
61150521020
7220121103
oct62262544
926746173
1013198692
1174a5411
124506170
1329717a0
141a7803a
15125aacc
hexc96564

13198692 has 96 divisors (see below), whose sum is σ = 35969920. Its totient is φ = 3732480.

The previous prime is 13198667. The next prime is 13198697. The reversal of 13198692 is 29689131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13198692.

It is not an unprimeable number, because it can be changed into a prime (13198697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180768 + ... + 180840.

Almost surely, 213198692 is an apocalyptic number.

13198692 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 13198692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984960).

13198692 is an abundant number, since it is smaller than the sum of its proper divisors (22771228).

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

13198692 is a wasteful number, since it uses less digits than its factorization.

13198692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 13198692 is about 3633.0004128819. Note that the first 3 decimals coincide. The cubic root of 13198692 is about 236.3253436801.

It can be divided in two parts, 1319 and 8692, that added together give a triangular number (10011 = T141).

The spelling of 13198692 in words is "thirteen million, one hundred ninety-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 61 73 76 78 114 122 146 156 183 219 228 244 247 292 366 438 494 732 741 793 876 949 988 1159 1387 1482 1586 1898 2318 2379 2774 2847 2964 3172 3477 3796 4161 4453 4636 4758 5548 5694 6954 8322 8906 9516 11388 13359 13908 15067 16644 17812 18031 26718 30134 36062 45201 53436 54093 57889 60268 72124 84607 90402 108186 115778 169214 173667 180804 216372 231556 253821 338428 347334 507642 694668 1015284 1099891 2199782 3299673 4399564 6599346 13198692