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13204440 = 2332543853
BaseRepresentation
bin110010010111…
…101111011000
3220211212002100
4302113233120
511340020230
61151003400
7220143624
oct62275730
926755070
1013204440
1174a9767
124509560
1329742a2
141a7a184
15125c660
hexc97bd8

13204440 has 96 divisors (see below), whose sum is σ = 43963920. Its totient is φ = 3435264.

The previous prime is 13204421. The next prime is 13204447. The reversal of 13204440 is 4440231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15054 + ... + 15906.

Almost surely, 213204440 is an apocalyptic number.

13204440 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 13204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21981960).

13204440 is an abundant number, since it is smaller than the sum of its proper divisors (30759480).

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

13204440 is a wasteful number, since it uses less digits than its factorization.

13204440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13204440 is about 3633.7914084328. The cubic root of 13204440 is about 236.3596450823.

Adding to 13204440 its reverse (4440231), we get a palindrome (17644671).

The spelling of 13204440 in words is "thirteen million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 853 860 1032 1290 1548 1706 1720 1935 2559 2580 3096 3412 3870 4265 5118 5160 6824 7677 7740 8530 10236 12795 15354 15480 17060 20472 25590 30708 34120 36679 38385 51180 61416 73358 76770 102360 110037 146716 153540 183395 220074 293432 307080 330111 366790 440148 550185 660222 733580 880296 1100370 1320444 1467160 1650555 2200740 2640888 3301110 4401480 6602220 13204440