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13151008 = 2513101313
BaseRepresentation
bin110010001010…
…101100100000
3220202010210101
4302022230200
511331313013
61145512144
7216532063
oct62125440
926663711
1013151008
117472602
1244a2654
132955b80
141a648da
15124b8dd
hexc8ab20

13151008 has 48 divisors (see below), whose sum is σ = 28248696. Its totient is φ = 5990400.

The previous prime is 13150999. The next prime is 13151027. The reversal of 13151008 is 80015131.

It can be written as a sum of positive squares in 4 ways, for example, as 8363664 + 4787344 = 2892^2 + 2188^2 .

It is a super-2 number, since 2×131510082 = 345898022832128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41860 + ... + 42172.

Almost surely, 213151008 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 13151008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124348).

13151008 is an abundant number, since it is smaller than the sum of its proper divisors (15097688).

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

13151008 is a wasteful number, since it uses less digits than its factorization.

13151008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 13151008 is about 3626.4318551436. The cubic root of 13151008 is about 236.0404029266.

Adding to 13151008 its reverse (80015131), we get a palindrome (93166139).

The spelling of 13151008 in words is "thirteen million, one hundred fifty-one thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 313 404 416 626 808 1252 1313 1616 2504 2626 3232 4069 5008 5252 8138 10016 10504 16276 21008 31613 32552 42016 63226 65104 126452 130208 252904 410969 505808 821938 1011616 1643876 3287752 6575504 13151008