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13270530 = 2357134861
BaseRepresentation
bin110010100111…
…111000000010
3220222012202010
4302213320002
511344124110
61152233350
7220540410
oct62477002
926865663
1013270530
117544389
12453b856
1329983b0
141a962b0
151272020
hexca7e02

13270530 has 64 divisors (see below), whose sum is σ = 39207168. Its totient is φ = 2799360.

The previous prime is 13270529. The next prime is 13270541. The reversal of 13270530 is 3507231.

It is a happy number.

It is a super-3 number, since 3×132705303 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13270497 and 13270506.

It is an unprimeable number.

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, 300 + ... + 5160.

It is an arithmetic number, because the mean of its divisors is an integer number (612612).

Almost surely, 213270530 is an apocalyptic number.

13270530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13270530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603584).

13270530 is an abundant number, since it is smaller than the sum of its proper divisors (25936638).

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

13270530 is a wasteful number, since it uses less digits than its factorization.

13270530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13270530 is about 3642.8738655078. The cubic root of 13270530 is about 236.7533262840.

Adding to 13270530 its reverse (3507231), we get a palindrome (16777761).

The spelling of 13270530 in words is "thirteen million, two hundred seventy thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4861 9722 14583 24305 29166 34027 48610 63193 68054 72915 102081 126386 145830 170135 189579 204162 315965 340270 379158 442351 510405 631930 884702 947895 1020810 1327053 1895790 2211755 2654106 4423510 6635265 13270530