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12910248 = 23321321061
BaseRepresentation
bin110001001111…
…111010101000
3220021220112100
4301033322220
511301111443
61140413400
7214510131
oct61177250
926256470
1012910248
11731872a
1243a7260
1328a0400
141a00c88
1512003d3
hexc4fea8

12910248 has 72 divisors (see below), whose sum is σ = 37897470. Its totient is φ = 3968640.

The previous prime is 12910243. The next prime is 12910279. The reversal of 12910248 is 84201921.

It can be written as a sum of positive squares in 3 ways, for example, as 7518564 + 5391684 = 2742^2 + 2322^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12910241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11638 + ... + 12698.

Almost surely, 212910248 is an apocalyptic number.

12910248 is a gapful number since it is divisible by the number (18) 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 12910248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948735).

12910248 is an abundant number, since it is smaller than the sum of its proper divisors (24987222).

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

12910248 is a wasteful number, since it uses less digits than its factorization.

12910248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12910248 is about 3593.0833555597. The cubic root of 12910248 is about 234.5910981855.

The spelling of 12910248 in words is "twelve million, nine hundred ten thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1061 1352 1521 2028 2122 3042 3183 4056 4244 6084 6366 8488 9549 12168 12732 13793 19098 25464 27586 38196 41379 55172 76392 82758 110344 124137 165516 179309 248274 331032 358618 496548 537927 717236 993096 1075854 1434472 1613781 2151708 3227562 4303416 6455124 12910248