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13267080 = 23325137269
BaseRepresentation
bin110010100111…
…000010001000
3220222001000100
4302213002020
511344021310
61152205400
7220524351
oct62470210
926861010
1013267080
117541832
124539860
132996958
141a94d28
151270ec0
hexca7088

13267080 has 96 divisors (see below), whose sum is σ = 43594200. Its totient is φ = 3499008.

The previous prime is 13267063. The next prime is 13267081. The reversal of 13267080 is 8076231.

Added to its reverse (8076231) it gives a triangular number (21343311 = T6533).

It can be written as a sum of positive squares in 4 ways, for example, as 7986276 + 5280804 = 2826^2 + 2298^2 .

It is not an unprimeable number, because it can be changed into a prime (13267081) 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, 49186 + ... + 49454.

Almost surely, 213267080 is an apocalyptic number.

13267080 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 13267080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21797100).

13267080 is an abundant number, since it is smaller than the sum of its proper divisors (30327120).

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

13267080 is a wasteful number, since it uses less digits than its factorization.

13267080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13267080 is about 3642.4003074896. The cubic root of 13267080 is about 236.7328078930.

Adding to 13267080 its reverse (8076231), we get a triangular number (21343311 = T6533).

The spelling of 13267080 in words is "thirteen million, two hundred sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 269 274 360 411 538 548 685 807 822 1076 1096 1233 1345 1370 1614 1644 2055 2152 2421 2466 2690 2740 3228 3288 4035 4110 4842 4932 5380 5480 6165 6456 8070 8220 9684 9864 10760 12105 12330 16140 16440 19368 24210 24660 32280 36853 48420 49320 73706 96840 110559 147412 184265 221118 294824 331677 368530 442236 552795 663354 737060 884472 1105590 1326708 1474120 1658385 2211180 2653416 3316770 4422360 6633540 13267080