Search a number
-
+
13329750 = 235372539
BaseRepresentation
bin110010110110…
…010101010110
3221002012222110
4302312111112
511403023000
61153411450
7221205150
oct62662526
927065873
1013329750
117584925
124569b86
1329b9335
141aadad0
151284850
hexcb6556

13329750 has 64 divisors (see below), whose sum is σ = 38039040. Its totient is φ = 3045600.

The previous prime is 13329733. The next prime is 13329761. The reversal of 13329750 is 5792331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 3981 + ... + 6519.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 213329750 is an apocalyptic number.

13329750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13329750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

13329750 is an abundant number, since it is smaller than the sum of its proper divisors (24709290).

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

13329750 is a wasteful number, since it uses less digits than its factorization.

13329750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13329750 is about 3650.9930156055. The cubic root of 13329750 is about 237.1049758388.

The spelling of 13329750 in words is "thirteen million, three hundred twenty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 750 875 1050 1750 2539 2625 5078 5250 7617 12695 15234 17773 25390 35546 38085 53319 63475 76170 88865 106638 126950 177730 190425 266595 317375 380850 444325 533190 634750 888650 952125 1332975 1904250 2221625 2665950 4443250 6664875 13329750