Search a number
-
+
13235352 = 2331359719
BaseRepresentation
bin110010011111…
…010010011000
3220220102111020
4302133102120
511342012402
61151402440
7220333014
oct62372230
926812436
1013235352
11751aa09
124523420
132985390
141a87544
1512668bc
hexc9f498

13235352 has 64 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3997824.

The previous prime is 13235317. The next prime is 13235363. The reversal of 13235352 is 25353231.

It is a happy number.

13235352 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18049 + ... + 18767.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 213235352 is an apocalyptic number.

13235352 is a gapful number since it is divisible by the number (12) 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 13235352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13235352 is an abundant number, since it is smaller than the sum of its proper divisors (23052648).

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

13235352 is a wasteful number, since it uses less digits than its factorization.

13235352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 13235352 is about 3638.0423307048. The cubic root of 13235352 is about 236.5439430732.

Adding to 13235352 its reverse (25353231), we get a palindrome (38588583).

The spelling of 13235352 in words is "thirteen million, two hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 719 767 1416 1438 1534 2157 2301 2876 3068 4314 4602 5752 6136 8628 9204 9347 17256 18408 18694 28041 37388 42421 56082 74776 84842 112164 127263 169684 224328 254526 339368 509052 551473 1018104 1102946 1654419 2205892 3308838 4411784 6617676 13235352