Search a number
-
+
13246420 = 22511193169
BaseRepresentation
bin110010100001…
…111111010100
3220220222200011
4302201333110
511342341140
61151530004
7220410205
oct62417724
926828604
1013246420
117528260
124529904
13298a425
141a8b5ac
151269cea
hexca1fd4

13246420 has 48 divisors (see below), whose sum is σ = 31953600. Its totient is φ = 4561920.

The previous prime is 13246411. The next prime is 13246421. The reversal of 13246420 is 2464231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13246391 and 13246400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13246421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2596 + ... + 5764.

It is an arithmetic number, because the mean of its divisors is an integer number (665700).

Almost surely, 213246420 is an apocalyptic number.

13246420 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 13246420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976800).

13246420 is an abundant number, since it is smaller than the sum of its proper divisors (18707180).

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

13246420 is a wasteful number, since it uses less digits than its factorization.

13246420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 13246420 is about 3639.5631606005. The cubic root of 13246420 is about 236.6098609503.

It can be divided in two parts, 1324 and 6420, that added together give a square (7744 = 882).

The spelling of 13246420 in words is "thirteen million, two hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 3169 4180 6338 12676 15845 31690 34859 60211 63380 69718 120422 139436 174295 240844 301055 348590 602110 662321 697180 1204220 1324642 2649284 3311605 6623210 13246420