Search a number
-
+
13262280 = 23352937103
BaseRepresentation
bin110010100101…
…110111001000
3220221210102120
4302211313020
511343343110
61152131240
7220504353
oct62456710
926853376
1013262280
117539169
124536b20
132994705
141a9329a
15126e870
hexca5dc8

13262280 has 128 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 3290112.

The previous prime is 13262269. The next prime is 13262281. The reversal of 13262280 is 8226231.

13262280 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13262280.

It is not an unprimeable number, because it can be changed into a prime (13262281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128709 + ... + 128811.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 213262280 is an apocalyptic number.

13262280 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 13262280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

13262280 is an abundant number, since it is smaller than the sum of its proper divisors (29419320).

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

13262280 is a wasteful number, since it uses less digits than its factorization.

13262280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13262280 is about 3641.7413417210. The cubic root of 13262280 is about 236.7042546484.

The spelling of 13262280 in words is "thirteen million, two hundred sixty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 103 111 116 120 145 148 174 185 206 222 232 290 296 309 348 370 412 435 444 515 555 580 618 696 740 824 870 888 1030 1073 1110 1160 1236 1480 1545 1740 2060 2146 2220 2472 2987 3090 3219 3480 3811 4120 4292 4440 5365 5974 6180 6438 7622 8584 8961 10730 11433 11948 12360 12876 14935 15244 16095 17922 19055 21460 22866 23896 25752 29870 30488 32190 35844 38110 42920 44805 45732 57165 59740 64380 71688 76220 89610 91464 110519 114330 119480 128760 152440 179220 221038 228660 331557 358440 442076 457320 552595 663114 884152 1105190 1326228 1657785 2210380 2652456 3315570 4420760 6631140 13262280