Search a number
-
+
13461400 = 235267307
BaseRepresentation
bin110011010110…
…011110011000
3221022220120101
4303112132120
511421231100
61200305144
7222264031
oct63263630
927286511
1013461400
117664827
1246121b4
132a34234
141b05a88
1512ad86a
hexcd6798

13461400 has 24 divisors (see below), whose sum is σ = 31298220. Its totient is φ = 5384480.

The previous prime is 13461397. The next prime is 13461421. The reversal of 13461400 is 416431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 33454 + ... + 33853.

Almost surely, 213461400 is an apocalyptic number.

13461400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13461400 is an abundant number, since it is smaller than the sum of its proper divisors (17836820).

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

13461400 is a wasteful number, since it uses less digits than its factorization.

13461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67323 (or 67314 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13461400 is about 3668.9780593511. The cubic root of 13461400 is about 237.8830016002.

Adding to 13461400 its reverse (416431), we get a palindrome (13877831).

It can be divided in two parts, 13461 and 400, that added together give a triangular number (13861 = T166).

The spelling of 13461400 in words is "thirteen million, four hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 67307 134614 269228 336535 538456 673070 1346140 1682675 2692280 3365350 6730700 13461400