Search a number
-
+
13330710 = 233597509
BaseRepresentation
bin110010110110…
…100100010110
3221002021022000
4302312210112
511403040320
61153420130
7221211021
oct62664426
927067260
1013330710
117585618
12456a646
1329b98c3
141ab01b8
151284c90
hexcb6916

13330710 has 64 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 3511296.

The previous prime is 13330679. The next prime is 13330711. The reversal of 13330710 is 1703331.

13330710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13330711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25936 + ... + 26444.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 213330710 is an apocalyptic number.

13330710 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 13330710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

13330710 is an abundant number, since it is smaller than the sum of its proper divisors (22654890).

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

13330710 is a wasteful number, since it uses less digits than its factorization.

13330710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 13330710 is about 3651.1244843199. The cubic root of 13330710 is about 237.1106677514.

The spelling of 13330710 in words is "thirteen million, three hundred thirty thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 509 582 873 970 1018 1455 1527 1746 2545 2619 2910 3054 4365 4581 5090 5238 7635 8730 9162 13095 13743 15270 22905 26190 27486 45810 49373 68715 98746 137430 148119 246865 296238 444357 493730 740595 888714 1333071 1481190 2221785 2666142 4443570 6665355 13330710