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13132220 = 2253159359
BaseRepresentation
bin110010000110…
…000110111100
3220201012000112
4302012012330
511330212340
61145245152
7216423233
oct62060674
926635015
1013132220
11745a482
1244937b8
13294a45a
141a5bb1a
151246065
hexc861bc

13132220 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4983360.

The previous prime is 13132219. The next prime is 13132237. The reversal of 13132220 is 2223131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13132195 and 13132204.

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, 36401 + ... + 36759.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 213132220 is an apocalyptic number.

13132220 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 13132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

13132220 is an abundant number, since it is smaller than the sum of its proper divisors (15898180).

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

13132220 is a wasteful number, since it uses less digits than its factorization.

13132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

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

The square root of 13132220 is about 3623.8405042165. The cubic root of 13132220 is about 235.9279441037.

Adding to 13132220 its reverse (2223131), we get a palindrome (15355351).

The spelling of 13132220 in words is "thirteen million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 359 590 620 718 1180 1436 1795 1829 3590 3658 7180 7316 9145 11129 18290 21181 22258 36580 42362 44516 55645 84724 105905 111290 211810 222580 423620 656611 1313222 2626444 3283055 6566110 13132220