Search a number
-
+
13314252 = 2237315113
BaseRepresentation
bin110010110010…
…100011001100
3221001102201110
4302302203030
511402024002
61153212020
7221112030
oct62624314
927042643
1013314252
117574216
124561010
1329b2273
141aa81c0
15127ee6c
hexcb28cc

13314252 has 48 divisors (see below), whose sum is σ = 36657152. Its totient is φ = 3680640.

The previous prime is 13314239. The next prime is 13314271. The reversal of 13314252 is 25241331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48 + ... + 5160.

Almost surely, 213314252 is an apocalyptic number.

13314252 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 13314252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328576).

13314252 is an abundant number, since it is smaller than the sum of its proper divisors (23342900).

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

13314252 is a wasteful number, since it uses less digits than its factorization.

13314252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5156 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 13314252 is about 3648.8699620567. The cubic root of 13314252 is about 237.0130491845.

Adding to 13314252 its reverse (25241331), we get a palindrome (38555583).

The spelling of 13314252 in words is "thirteen million, three hundred fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 5113 10226 15339 20452 30678 35791 61356 71582 107373 143164 158503 214746 317006 429492 475509 634012 951018 1109521 1902036 2219042 3328563 4438084 6657126 13314252