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13194180 = 22325233187
BaseRepresentation
bin110010010101…
…001111000100
3220211100000100
4302111033010
511334203210
61150444100
7220101666
oct62251704
926740010
1013194180
1174a1a8a
124503630
13296c70c
141a76536
1512595c0
hexc953c4

13194180 has 72 divisors (see below), whose sum is σ = 41775552. Its totient is φ = 3364416.

The previous prime is 13194149. The next prime is 13194199. The reversal of 13194180 is 8149131.

Added to its reverse (8149131) it gives a triangular number (21343311 = T6533).

It is an unprimeable number.

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, 2547 + ... + 5733.

It is an arithmetic number, because the mean of its divisors is an integer number (580216).

Almost surely, 213194180 is an apocalyptic number.

13194180 is a gapful number since it is divisible by the number (10) 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 13194180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20887776).

13194180 is an abundant number, since it is smaller than the sum of its proper divisors (28581372).

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

13194180 is a wasteful number, since it uses less digits than its factorization.

13194180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13194180 is about 3632.3793854717. The cubic root of 13194180 is about 236.2984111760.

Adding to 13194180 its reverse (8149131), we get a triangular number (21343311 = T6533).

The spelling of 13194180 in words is "thirteen million, one hundred ninety-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3187 4140 6374 9561 12748 15935 19122 28683 31870 38244 47805 57366 63740 73301 95610 114732 143415 146602 191220 219903 286830 293204 366505 439806 573660 659709 733010 879612 1099515 1319418 1466020 2199030 2638836 3298545 4398060 6597090 13194180