Search a number
-
+
13545504 = 253276719
BaseRepresentation
bin110011101011…
…000000100000
3221111011221100
4303223000200
511431424004
61202154400
7223064160
oct63530040
927434840
1013545504
117711a35
124652a00
132a635bb
141b285a0
1512c8739
hexceb020

13545504 has 72 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3869568.

The previous prime is 13545503. The next prime is 13545527. The reversal of 13545504 is 40554531.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×135455042 = 366961357228032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13545503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 213545504 is an apocalyptic number.

13545504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13545504 is an abundant number, since it is smaller than the sum of its proper divisors (30483936).

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

13545504 is a wasteful number, since it uses less digits than its factorization.

13545504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 13545504 is about 3680.4217149669. The cubic root of 13545504 is about 238.3773877627.

The spelling of 13545504 in words is "thirteen million, five hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6719 13438 20157 26876 40314 47033 53752 60471 80628 94066 107504 120942 141099 161256 188132 215008 241884 282198 322512 376264 423297 483768 564396 645024 752528 846594 967536 1128792 1505056 1693188 1935072 2257584 3386376 4515168 6772752 13545504