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13301220 = 2235415407
BaseRepresentation
bin110010101111…
…010111100100
3221000202211210
4302233113210
511401114340
61153031420
7221026032
oct62572744
927022753
1013301220
117565449
124555570
1329a935a
141aa3552
15127b180
hexcaf5e4

13301220 has 48 divisors (see below), whose sum is σ = 38158848. Its totient is φ = 3459840.

The previous prime is 13301219. The next prime is 13301221. The reversal of 13301220 is 2210331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13301219) and next prime (13301221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13301196 and 13301205.

It is not an unprimeable number, because it can be changed into a prime (13301221) 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, 244 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (794976).

Almost surely, 213301220 is an apocalyptic number.

13301220 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 13301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079424).

13301220 is an abundant number, since it is smaller than the sum of its proper divisors (24857628).

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

13301220 is a wasteful number, since it uses less digits than its factorization.

13301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13301220 is about 3647.0837665181. The cubic root of 13301220 is about 236.9356944230.

Adding to 13301220 its reverse (2210331), we get a palindrome (15511551).

The spelling of 13301220 in words is "thirteen million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 5407 10814 16221 21628 27035 32442 54070 64884 81105 108140 162210 221687 324420 443374 665061 886748 1108435 1330122 2216870 2660244 3325305 4433740 6650610 13301220