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13383590 = 2511172421
BaseRepresentation
bin110011000011…
…011110100110
3221011221211112
4303003132212
511411233330
61154505022
7221521133
oct63033646
927157745
1013383590
117611320
124595172
132a079ac
141ac558a
151295795
hexcc37a6

13383590 has 48 divisors (see below), whose sum is σ = 27983664. Its totient is φ = 4569600.

The previous prime is 13383577. The next prime is 13383593. The reversal of 13383590 is 9538331.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13383593) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31580 + ... + 32000.

It is an arithmetic number, because the mean of its divisors is an integer number (582993).

Almost surely, 213383590 is an apocalyptic number.

13383590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13383590 is an abundant number, since it is smaller than the sum of its proper divisors (14600074).

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

13383590 is a wasteful number, since it uses less digits than its factorization.

13383590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 13383590 is about 3658.3589217025. The cubic root of 13383590 is about 237.4237760931.

The spelling of 13383590 in words is "thirteen million, three hundred eighty-three thousand, five hundred ninety".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 289 374 421 578 842 935 1445 1870 2105 2890 3179 4210 4631 6358 7157 9262 14314 15895 23155 31790 35785 46310 71570 78727 121669 157454 243338 393635 608345 787270 1216690 1338359 2676718 6691795 13383590