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13276120 = 23511213211
BaseRepresentation
bin110010101001…
…001111011000
3220222111102011
4302221033120
511344313440
61152315304
7220562614
oct62511730
926874364
1013276120
117548600
124542b34
13299aac0
141a98344
1512739ea
hexca93d8

13276120 has 96 divisors (see below), whose sum is σ = 35526960. Its totient is φ = 4435200.

The previous prime is 13276111. The next prime is 13276127. The reversal of 13276120 is 2167231.

13276120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13276091 and 13276100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13276127) 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, 62815 + ... + 63025.

Almost surely, 213276120 is an apocalyptic number.

13276120 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 13276120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763480).

13276120 is an abundant number, since it is smaller than the sum of its proper divisors (22250840).

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

13276120 is a wasteful number, since it uses less digits than its factorization.

13276120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13276120 is about 3643.6410361066. The cubic root of 13276120 is about 236.7865644769.

Subtracting from 13276120 its reverse (2167231), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1327 and 6120, that added together give a palindrome (7447).

The spelling of 13276120 in words is "thirteen million, two hundred seventy-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 211 220 242 260 286 422 440 484 520 572 605 715 844 968 1055 1144 1210 1430 1573 1688 2110 2321 2420 2743 2860 3146 4220 4642 4840 5486 5720 6292 7865 8440 9284 10972 11605 12584 13715 15730 18568 21944 23210 25531 27430 30173 31460 46420 51062 54860 60346 62920 92840 102124 109720 120692 127655 150865 204248 241384 255310 301730 331903 510620 603460 663806 1021240 1206920 1327612 1659515 2655224 3319030 6638060 13276120