Search a number
-
+
13197312 = 21332179
BaseRepresentation
bin110010010110…
…000000000000
3220211111022100
4302112000000
511334303222
61150510400
7220114062
oct62260000
926744270
1013197312
1174a4377
124505400
132970c7b
141a77732
15125a4ac
hexc96000

13197312 has 84 divisors (see below), whose sum is σ = 38336220. Its totient is φ = 4374528.

The previous prime is 13197299. The next prime is 13197313. The reversal of 13197312 is 21379131.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13197313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73639 + ... + 73817.

Almost surely, 213197312 is an apocalyptic number.

13197312 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 13197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168110).

13197312 is an abundant number, since it is smaller than the sum of its proper divisors (25138908).

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

13197312 is an equidigital number, since it uses as much as digits as its factorization.

13197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 13197312 is about 3632.8104822575. The cubic root of 13197312 is about 236.3171069967.

The spelling of 13197312 in words is "thirteen million, one hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 256 288 358 384 512 537 576 716 768 1024 1074 1152 1432 1536 1611 2048 2148 2304 2864 3072 3222 4096 4296 4608 5728 6144 6444 8192 8592 9216 11456 12288 12888 17184 18432 22912 24576 25776 34368 36864 45824 51552 68736 73728 91648 103104 137472 183296 206208 274944 366592 412416 549888 733184 824832 1099776 1466368 1649664 2199552 3299328 4399104 6598656 13197312