Search a number
-
+
13310220 = 22357114367
BaseRepresentation
bin110010110001…
…100100001100
3221001020012010
4302301210030
511401411340
61153141220
7221064210
oct62614414
927036163
1013310220
117571190
12455a810
1329b0491
141aa6940
15127db80
hexcb190c

13310220 has 192 divisors, whose sum is σ = 48254976. Its totient is φ = 2661120.

The previous prime is 13310207. The next prime is 13310221. The reversal of 13310220 is 2201331.

It is a happy number.

13310220 is a nontrivial binomial coefficient, being equal to C(5160, 2).

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 = 13310196 and 13310205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198627 + ... + 198693.

It is an arithmetic number, because the mean of its divisors is an integer number (251328).

Almost surely, 213310220 is an apocalyptic number.

13310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13310220 is the 5159-th triangular number and also the 2580-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24127488).

13310220 is an abundant number, since it is smaller than the sum of its proper divisors (34944756).

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

13310220 is a wasteful number, since it uses less digits than its factorization.

13310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

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

The square root of 13310220 is about 3648.3174204008. The cubic root of 13310220 is about 236.9891216143.

Adding to 13310220 its reverse (2201331), we get a palindrome (15511551).

Subtracting from 13310220 its reverse (2201331), we obtain a square (11108889 = 33332).

It can be divided in two parts, 13310 and 220, that added together give a triangular number (13530 = T164).

The spelling of 13310220 in words is "thirteen million, three hundred ten thousand, two hundred twenty".