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13319280 = 24325131423
BaseRepresentation
bin110010110011…
…110001110000
3221001200121200
4302303301300
511402204110
61153251200
7221132502
oct62636160
927050550
1013319280
117577a77
124563b00
1329b4640
141aa9d72
1512816c0
hexcb3c70

13319280 has 120 divisors (see below), whose sum is σ = 48205248. Its totient is φ = 3276288.

The previous prime is 13319263. The next prime is 13319281. The reversal of 13319280 is 8291331.

13319280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13319281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8649 + ... + 10071.

Almost surely, 213319280 is an apocalyptic number.

13319280 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 13319280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24102624).

13319280 is an abundant number, since it is smaller than the sum of its proper divisors (34885968).

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

13319280 is a wasteful number, since it uses less digits than its factorization.

13319280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13319280 is about 3649.5588774535. The cubic root of 13319280 is about 237.0428806671.

The spelling of 13319280 in words is "thirteen million, three hundred nineteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1423 1560 1872 2340 2846 3120 4269 4680 5692 7115 8538 9360 11384 12807 14230 17076 18499 21345 22768 25614 28460 34152 36998 42690 51228 55497 56920 64035 68304 73996 85380 92495 102456 110994 113840 128070 147992 166491 170760 184990 204912 221988 256140 277485 295984 332982 341520 369980 443976 512280 554970 665964 739960 832455 887952 1024560 1109940 1331928 1479920 1664910 2219880 2663856 3329820 4439760 6659640 13319280