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13194132 = 22372191181
BaseRepresentation
bin110010010101…
…001110010100
3220211022221120
4302111032110
511334203012
61150443540
7220101600
oct62251624
926738846
1013194132
1174a1a46
1245035b0
13296c6a3
141a76500
15125958c
hexc95394

13194132 has 72 divisors (see below), whose sum is σ = 37729440. Its totient is φ = 3568320.

The previous prime is 13194131. The next prime is 13194133. The reversal of 13194132 is 23149131.

It is an interprime number because it is at equal distance from previous prime (13194131) and next prime (13194133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13194131) 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 23 ways as a sum of consecutive naturals, for example, 10582 + ... + 11762.

It is an arithmetic number, because the mean of its divisors is an integer number (524020).

Almost surely, 213194132 is an apocalyptic number.

13194132 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 13194132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18864720).

13194132 is an abundant number, since it is smaller than the sum of its proper divisors (24535308).

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

13194132 is a wasteful number, since it uses less digits than its factorization.

13194132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1212 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 13194132 is about 3632.3727782264. The cubic root of 13194132 is about 236.2981246270.

The spelling of 13194132 in words is "thirteen million, one hundred ninety-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1181 1596 1862 2362 2793 3543 3724 4724 5586 7086 8267 11172 14172 16534 22439 24801 33068 44878 49602 57869 67317 89756 99204 115738 134634 157073 173607 231476 269268 314146 347214 471219 628292 694428 942438 1099511 1884876 2199022 3298533 4398044 6597066 13194132