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13134432 = 253414771
BaseRepresentation
bin110010000110…
…101001100000
3220201022001110
4302012221200
511330300212
61145303320
7216432543
oct62065140
926638043
1013134432
117461103
124494b40
13294b46c
141a5c85a
151246a3c
hexc86a60

13134432 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 4121600.

The previous prime is 13134431. The next prime is 13134439. The reversal of 13134432 is 23443131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13134399 and 13134408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134431) 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, 184957 + ... + 185027.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 213134432 is an apocalyptic number.

13134432 is a gapful number since it is divisible by the number (12) 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 13134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

13134432 is an abundant number, since it is smaller than the sum of its proper divisors (23443872).

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

13134432 is a wasteful number, since it uses less digits than its factorization.

13134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 13134432 is about 3624.1456924357. The cubic root of 13134432 is about 235.9411899807.

Adding to 13134432 its reverse (23443131), we get a palindrome (36577563).

The spelling of 13134432 in words is "thirteen million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 71 82 94 96 123 141 142 164 188 213 246 282 284 328 376 426 492 564 568 656 752 852 984 1128 1136 1312 1504 1704 1927 1968 2256 2272 2911 3337 3408 3854 3936 4512 5781 5822 6674 6816 7708 8733 10011 11562 11644 13348 15416 17466 20022 23124 23288 26696 30832 34932 40044 46248 46576 53392 61664 69864 80088 92496 93152 106784 136817 139728 160176 184992 273634 279456 320352 410451 547268 820902 1094536 1641804 2189072 3283608 4378144 6567216 13134432