Search a number
-
+
13410200 = 2352193529
BaseRepresentation
bin110011001001…
…111110011000
3221020022100002
4303021332120
511413111300
61155232132
7221661536
oct63117630
927208302
1013410200
11762a311
1245a8648
132a16b3b
141ad1156
15129d5d5
hexcc9f98

13410200 has 48 divisors (see below), whose sum is σ = 32829000. Its totient is φ = 5080320.

The previous prime is 13410193. The next prime is 13410211. The reversal of 13410200 is 201431.

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 11 ways as a sum of consecutive naturals, for example, 2036 + ... + 5564.

Almost surely, 213410200 is an apocalyptic number.

13410200 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 13410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414500).

13410200 is an abundant number, since it is smaller than the sum of its proper divisors (19418800).

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

13410200 is a wasteful number, since it uses less digits than its factorization.

13410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13410200 is about 3661.9939923490. The cubic root of 13410200 is about 237.5810249861.

Adding to 13410200 its reverse (201431), we get a palindrome (13611631).

The spelling of 13410200 in words is "thirteen million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3529 3800 7058 14116 17645 28232 35290 67051 70580 88225 134102 141160 176450 268204 335255 352900 536408 670510 705800 1341020 1676275 2682040 3352550 6705100 13410200