Search a number
-
+
13383520 = 255233359
BaseRepresentation
bin110011000011…
…011101100000
3221011221201221
4303003131200
511411233040
61154504424
7221521003
oct63033540
927157657
1013383520
117611267
124595114
132a07957
141ac553a
15129574a
hexcc3760

13383520 has 48 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 5315584.

The previous prime is 13383499. The next prime is 13383521. The reversal of 13383520 is 2538331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13383521) 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 7 ways as a sum of consecutive naturals, for example, 37101 + ... + 37459.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 213383520 is an apocalyptic number.

13383520 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 13383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

13383520 is an abundant number, since it is smaller than the sum of its proper divisors (18459200).

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

13383520 is a wasteful number, since it uses less digits than its factorization.

13383520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 13383520 is about 3658.3493545587. The cubic root of 13383520 is about 237.4233621610.

The spelling of 13383520 in words is "thirteen million, three hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 359 466 718 932 1165 1436 1795 1864 2330 2872 3590 3728 4660 5744 7180 7456 9320 11488 14360 18640 28720 37280 57440 83647 167294 334588 418235 669176 836470 1338352 1672940 2676704 3345880 6691760 13383520