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13220910 = 2325712069
BaseRepresentation
bin110010011011…
…110000101110
3220212200200100
4302123300232
511341032120
61151211530
7220242633
oct62336056
926780610
1013220910
11751007a
124516ba6
13297b931
141a8218a
151262490
hexc9bc2e

13220910 has 48 divisors (see below), whose sum is σ = 34875360. Its totient is φ = 3474240.

The previous prime is 13220899. The next prime is 13220947. The reversal of 13220910 is 1902231.

It is a happy number.

It is a super-2 number, since 2×132209102 = 349584922456200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5356 + ... + 7424.

It is an arithmetic number, because the mean of its divisors is an integer number (726570).

Almost surely, 213220910 is an apocalyptic number.

13220910 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 13220910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437680).

13220910 is an abundant number, since it is smaller than the sum of its proper divisors (21654450).

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

13220910 is a wasteful number, since it uses less digits than its factorization.

13220910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13220910 is about 3636.0569302474. The cubic root of 13220910 is about 236.4578753228.

The spelling of 13220910 in words is "thirteen million, two hundred twenty thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2069 2130 3195 4138 6207 6390 10345 12414 18621 20690 31035 37242 62070 93105 146899 186210 293798 440697 734495 881394 1322091 1468990 2203485 2644182 4406970 6610455 13220910