Search a number
-
+
13420251236 = 22729151109453
BaseRepresentation
bin11000111111110100…
…01100100001100100
31021122021120101210002
430133322030201210
5204441041014421
610055402320432
7653365152620
oct143772144144
937567511702
1013420251236
115767422427
1227264b9118
13135b483b82
149144c2180
155382b5b0b
hex31fe8c864

13420251236 has 48 divisors (see below), whose sum is σ = 27950173440. Its totient is φ = 5516380800.

The previous prime is 13420251227. The next prime is 13420251253. The reversal of 13420251236 is 63215202431.

It is a happy number.

13420251236 is digitally balanced in base 2, because in such base 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 (29).

It is a junction number, because it is equal to n+sod(n) for n = 13420251199 and 13420251208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67886 + ... + 177338.

It is an arithmetic number, because the mean of its divisors is an integer number (582295280).

Almost surely, 213420251236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420251236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975086720).

13420251236 is an abundant number, since it is smaller than the sum of its proper divisors (14529922204).

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

13420251236 is a wasteful number, since it uses less digits than its factorization.

13420251236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109644 (or 109642 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 13420251236 its reverse (63215202431), we get a palindrome (76635453667).

The spelling of 13420251236 in words is "thirteen billion, four hundred twenty million, two hundred fifty-one thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 29 58 116 151 203 302 406 604 812 1057 2114 4228 4379 8758 17516 30653 61306 109453 122612 218906 437812 766171 1532342 3064684 3174137 6348274 12696548 16527403 22218959 33054806 44437918 66109612 88875836 115691821 231383642 462767284 479294687 958589374 1917178748 3355062809 6710125618 13420251236