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13321220 = 22511151401
BaseRepresentation
bin110010110100…
…010000000100
3221001210021112
4302310100010
511402234340
61153304152
7221141243
oct62642004
927053245
1013321220
117579480
124565058
1329b54a3
141aaa95a
151282065
hexcb4404

13321220 has 48 divisors (see below), whose sum is σ = 30796416. Its totient is φ = 4800000.

The previous prime is 13321219. The next prime is 13321229. The reversal of 13321220 is 2212331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13321195 and 13321204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321229) 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, 33020 + ... + 33420.

It is an arithmetic number, because the mean of its divisors is an integer number (641592).

Almost surely, 213321220 is an apocalyptic number.

13321220 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 13321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398208).

13321220 is an abundant number, since it is smaller than the sum of its proper divisors (17475196).

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

13321220 is a wasteful number, since it uses less digits than its factorization.

13321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13321220 is about 3649.8246533224. The cubic root of 13321220 is about 237.0543888183.

Adding to 13321220 its reverse (2212331), we get a palindrome (15533551).

Subtracting from 13321220 its reverse (2212331), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1332 and 1220, that added together give a palindrome (2552).

The spelling of 13321220 in words is "thirteen million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 401 604 755 802 1510 1604 1661 2005 3020 3322 4010 4411 6644 8020 8305 8822 16610 17644 22055 33220 44110 60551 88220 121102 242204 302755 605510 666061 1211020 1332122 2664244 3330305 6660610 13321220