Search a number
-
+
13277280 = 2535139199
BaseRepresentation
bin110010101001…
…100001100000
3220222120000010
4302221201200
511344333110
61152324520
7220566162
oct62514140
926876003
1013277280
117549465
124543740
13299b4a3
141a98932
151274020
hexca9860

13277280 has 96 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 3497472.

The previous prime is 13277267. The next prime is 13277281. The reversal of 13277280 is 8277231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 (13277281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66621 + ... + 66819.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 213277280 is an apocalyptic number.

13277280 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 13277280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

13277280 is an abundant number, since it is smaller than the sum of its proper divisors (29058720).

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

13277280 is a wasteful number, since it uses less digits than its factorization.

13277280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 13277280 is about 3643.8002140622. The cubic root of 13277280 is about 236.7934606789.

The spelling of 13277280 in words is "thirteen million, two hundred seventy-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 199 240 278 398 417 480 556 597 695 796 834 995 1112 1194 1390 1592 1668 1990 2085 2224 2388 2780 2985 3184 3336 3980 4170 4448 4776 5560 5970 6368 6672 7960 8340 9552 11120 11940 13344 15920 16680 19104 22240 23880 27661 31840 33360 47760 55322 66720 82983 95520 110644 138305 165966 221288 276610 331932 414915 442576 553220 663864 829830 885152 1106440 1327728 1659660 2212880 2655456 3319320 4425760 6638640 13277280