Search a number
-
+
13134408 = 2337372113
BaseRepresentation
bin110010000110…
…101001001000
3220201022000120
4302012221020
511330300113
61145303240
7216432510
oct62065110
926638016
1013134408
117461091
124494b20
13294b451
141a5c840
151246a23
hexc86a48

13134408 has 64 divisors (see below), whose sum is σ = 38559360. Its totient is φ = 3649536.

The previous prime is 13134397. The next prime is 13134409. The reversal of 13134408 is 80443131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13134409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5160 + ... + 7272.

It is an arithmetic number, because the mean of its divisors is an integer number (602490).

Almost surely, 213134408 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 13134408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19279680).

13134408 is an abundant number, since it is smaller than the sum of its proper divisors (25424952).

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

13134408 is a wasteful number, since it uses less digits than its factorization.

13134408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13134408 is about 3624.1423813090. The cubic root of 13134408 is about 235.9410462722.

Adding to 13134408 its reverse (80443131), we get a palindrome (93577539).

It can be divided in two parts, 13 and 134408, that added together give a triangular number (134421 = T518).

The spelling of 13134408 in words is "thirteen million, one hundred thirty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 2113 3108 4226 6216 6339 8452 12678 14791 16904 25356 29582 44373 50712 59164 78181 88746 118328 156362 177492 234543 312724 354984 469086 547267 625448 938172 1094534 1641801 1876344 2189068 3283602 4378136 6567204 13134408