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13429260 = 22335131913
BaseRepresentation
bin110011001110…
…101000001100
3221021021111000
4303032220030
511414214020
61155500300
7222101235
oct63165014
927237430
1013429260
117642669
1245b7690
132a22710
141ad808c
1512a4090
hexccea0c

13429260 has 96 divisors (see below), whose sum is σ = 45017280. Its totient is φ = 3303936.

The previous prime is 13429223. The next prime is 13429267. The reversal of 13429260 is 6292431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13429267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6064 + ... + 7976.

It is an arithmetic number, because the mean of its divisors is an integer number (468930).

Almost surely, 213429260 is an apocalyptic number.

13429260 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 13429260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508640).

13429260 is an abundant number, since it is smaller than the sum of its proper divisors (31588020).

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

13429260 is a wasteful number, since it uses less digits than its factorization.

13429260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13429260 is about 3664.5954756289. The cubic root of 13429260 is about 237.6935301604.

It can be divided in two parts, 13429 and 260, that added together give a square (13689 = 1172).

The spelling of 13429260 in words is "thirteen million, four hundred twenty-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 1913 2340 3510 3826 5739 7020 7652 9565 11478 17217 19130 22956 24869 28695 34434 38260 49738 51651 57390 68868 74607 86085 99476 103302 114780 124345 149214 172170 206604 223821 248690 258255 298428 344340 373035 447642 497380 516510 671463 746070 895284 1033020 1119105 1342926 1492140 2238210 2685852 3357315 4476420 6714630 13429260