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13504440 = 2335195923
BaseRepresentation
bin110011100000…
…111110111000
3221102002121110
4303200332320
511424120230
61201240320
7222533355
oct63407670
927362543
1013504440
1176940a4
1246330a0
132a4a9c1
141b1762c
1512bb4b0
hexce0fb8

13504440 has 64 divisors (see below), whose sum is σ = 42652800. Its totient is φ = 3411072.

The previous prime is 13504429. The next prime is 13504471. The reversal of 13504440 is 4440531.

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, 682 + ... + 5241.

It is an arithmetic number, because the mean of its divisors is an integer number (666450).

Almost surely, 213504440 is an apocalyptic number.

13504440 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 13504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326400).

13504440 is an abundant number, since it is smaller than the sum of its proper divisors (29148360).

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

13504440 is a wasteful number, since it uses less digits than its factorization.

13504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13504440 is about 3674.8387719735. The cubic root of 13504440 is about 238.1362588624.

Adding to 13504440 its reverse (4440531), we get a palindrome (17944971).

The spelling of 13504440 in words is "thirteen million, five hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5923 11846 17769 23692 29615 35538 47384 59230 71076 88845 112537 118460 142152 177690 225074 236920 337611 355380 450148 562685 675222 710760 900296 1125370 1350444 1688055 2250740 2700888 3376110 4501480 6752220 13504440