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13504220 = 2252331947
BaseRepresentation
bin110011100000…
…111011011100
3221102002022022
4303200323130
511424113340
61201235312
7222532622
oct63407334
927362268
1013504220
117693a14
124632b38
132a4a882
141b17512
1512bb3b5
hexce0edc

13504220 has 48 divisors (see below), whose sum is σ = 30578688. Its totient is φ = 4994880.

The previous prime is 13504219. The next prime is 13504259. The reversal of 13504220 is 2240531.

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 15 ways as a sum of consecutive naturals, for example, 13787 + ... + 14733.

It is an arithmetic number, because the mean of its divisors is an integer number (637056).

Almost surely, 213504220 is an apocalyptic number.

13504220 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 13504220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289344).

13504220 is an abundant number, since it is smaller than the sum of its proper divisors (17074468).

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

13504220 is a wasteful number, since it uses less digits than its factorization.

13504220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 13504220 is about 3674.8088385656. The cubic root of 13504220 is about 238.1349657010.

Adding to 13504220 its reverse (2240531), we get a palindrome (15744751).

It can be divided in two parts, 1350 and 4220, that multiplied together give a triangular number (5697000 = T3375).

The spelling of 13504220 in words is "thirteen million, five hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 947 1426 1894 2852 3565 3788 4735 7130 9470 14260 18940 21781 29357 43562 58714 87124 108905 117428 146785 217810 293570 435620 587140 675211 1350422 2700844 3376055 6752110 13504220