Search a number
-
+
13410054 = 2327711499
BaseRepresentation
bin110011001001…
…111100000110
3221020022010200
4303021330012
511413110204
61155231330
7221661240
oct63117406
927208120
1013410054
11762a199
1245a8546
132a16a58
141ad1090
15129d539
hexcc9f06

13410054 has 48 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 3774960.

The previous prime is 13410031. The next prime is 13410071. The reversal of 13410054 is 45001431.

It is a happy number.

13410054 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8197 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 213410054 is an apocalyptic number.

13410054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13410054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

13410054 is an abundant number, since it is smaller than the sum of its proper divisors (20285946).

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

13410054 is a wasteful number, since it uses less digits than its factorization.

13410054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13410054 is about 3661.9740578000. The cubic root of 13410054 is about 237.5801627828.

Adding to 13410054 its reverse (45001431), we get a palindrome (58411485).

The spelling of 13410054 in words is "thirteen million, four hundred ten thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 1499 2982 2998 4473 4497 8946 8994 10493 13491 20986 26982 31479 62958 94437 106429 188874 212858 319287 638574 745003 957861 1490006 1915722 2235009 4470018 6705027 13410054