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13114220 = 2257283331
BaseRepresentation
bin110010000001…
…101101101100
3220200021022212
4302001231230
511324123340
61145025552
7216316610
oct62015554
926607285
1013114220
1174479a9
1244852b8
1329421c2
141a55340
151240a65
hexc81b6c

13114220 has 48 divisors (see below), whose sum is σ = 31680768. Its totient is φ = 4466880.

The previous prime is 13114217. The next prime is 13114261. The reversal of 13114220 is 2241131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13114195 and 13114204.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 39455 + ... + 39785.

It is an arithmetic number, because the mean of its divisors is an integer number (660016).

Almost surely, 213114220 is an apocalyptic number.

13114220 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 13114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840384).

13114220 is an abundant number, since it is smaller than the sum of its proper divisors (18566548).

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

13114220 is a wasteful number, since it uses less digits than its factorization.

13114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13114220 is about 3621.3560995848. The cubic root of 13114220 is about 235.8201013385.

Adding to 13114220 its reverse (2241131), we get a palindrome (15355351).

The spelling of 13114220 in words is "thirteen million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 331 566 662 1132 1324 1415 1655 1981 2317 2830 3310 3962 4634 5660 6620 7924 9268 9905 11585 19810 23170 39620 46340 93673 187346 374692 468365 655711 936730 1311422 1873460 2622844 3278555 6557110 13114220