Search a number
-
+
13033320 = 2335313347
BaseRepresentation
bin110001101101…
…111101101000
3220112011100120
4301231331220
511314031240
61143203240
7215532006
oct61557550
926464316
1013033320
1173a2143
124446520
132914431
141a33a76
151226ad0
hexc6df68

13033320 has 64 divisors (see below), whose sum is σ = 39337920. Its totient is φ = 3454464.

The previous prime is 13033289. The next prime is 13033327. The reversal of 13033320 is 2333031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13033320.

It is not an unprimeable number, because it can be changed into a prime (13033327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37387 + ... + 37733.

It is an arithmetic number, because the mean of its divisors is an integer number (614655).

Almost surely, 213033320 is an apocalyptic number.

13033320 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 13033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668960).

13033320 is an abundant number, since it is smaller than the sum of its proper divisors (26304600).

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

13033320 is a wasteful number, since it uses less digits than its factorization.

13033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 13033320 is about 3610.1689711148. The cubic root of 13033320 is about 235.3341857745.

Adding to 13033320 its reverse (2333031), we get a palindrome (15366351).

The spelling of 13033320 in words is "thirteen million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 347 626 694 939 1041 1252 1388 1565 1735 1878 2082 2504 2776 3130 3470 3756 4164 4695 5205 6260 6940 7512 8328 9390 10410 12520 13880 18780 20820 37560 41640 108611 217222 325833 434444 543055 651666 868888 1086110 1303332 1629165 2172220 2606664 3258330 4344440 6516660 13033320