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13161024 = 263273313
BaseRepresentation
bin110010001101…
…001001000000
3220202122112100
4302031021000
511332123044
61150030400
7216603222
oct62151100
926678470
1013161024
11747a088
1244a8400
13295a5b6
141a68412
15124e869
hexc8d240

13161024 has 84 divisors (see below), whose sum is σ = 38362636. Its totient is φ = 4313088.

The previous prime is 13161023. The next prime is 13161047. The reversal of 13161024 is 42016131.

It is a happy number.

13161024 is a `hidden beast` number, since 1 + 31 + 610 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 10497600 = 1632^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13160988 and 13161006.

It is not an unprimeable number, because it can be changed into a prime (13161023) 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, 41892 + ... + 42204.

Almost surely, 213161024 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 13161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19181318).

13161024 is an abundant number, since it is smaller than the sum of its proper divisors (25201612).

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

13161024 is a wasteful number, since it uses less digits than its factorization.

13161024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13161024 is about 3627.8125640667. The cubic root of 13161024 is about 236.1003116609.

Adding to 13161024 its reverse (42016131), we get a palindrome (55177155).

The spelling of 13161024 in words is "thirteen million, one hundred sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 313 438 576 584 626 657 876 939 1168 1252 1314 1752 1878 2336 2504 2628 2817 3504 3756 4672 5008 5256 5634 7008 7512 10016 10512 11268 14016 15024 20032 21024 22536 22849 30048 42048 45072 45698 60096 68547 90144 91396 137094 180288 182792 205641 274188 365584 411282 548376 731168 822564 1096752 1462336 1645128 2193504 3290256 4387008 6580512 13161024