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13047400 = 235289733
BaseRepresentation
bin110001110001…
…011001101000
3220112212200001
4301301121220
511320004100
61143352344
7215621032
oct61613150
926485601
1013047400
117401783
1244526b4
13291a972
141a38c52
15122ad6a
hexc71668

13047400 has 48 divisors (see below), whose sum is σ = 30717900. Its totient is φ = 5153280.

The previous prime is 13047367. The next prime is 13047407. The reversal of 13047400 is 474031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6666724 + 6380676 = 2582^2 + 2526^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13047407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17434 + ... + 18166.

Almost surely, 213047400 is an apocalyptic number.

13047400 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 13047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15358950).

13047400 is an abundant number, since it is smaller than the sum of its proper divisors (17670500).

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

13047400 is a wasteful number, since it uses less digits than its factorization.

13047400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 13047400 is about 3612.1184919656. The cubic root of 13047400 is about 235.4188997447.

The spelling of 13047400 in words is "thirteen million, forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 733 890 1466 1780 2225 2932 3560 3665 4450 5864 7330 8900 14660 17800 18325 29320 36650 65237 73300 130474 146600 260948 326185 521896 652370 1304740 1630925 2609480 3261850 6523700 13047400