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13112848 = 247177197
BaseRepresentation
bin110010000001…
…011000010000
3220200012110001
4302001120100
511324102343
61145015344
7216312610
oct62013020
926605401
1013112848
117446971
124484554
1329416a8
141a54a40
15124044d
hexc81610

13112848 has 80 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 5160960.

The previous prime is 13112821. The next prime is 13112849. The reversal of 13112848 is 84821131.

13112848 = T1107 + T1108 + ... + T1127.

It is a super-2 number, since 2×131128482 = 343893565342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13112849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135136 + ... + 135232.

Almost surely, 213112848 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 13112848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

13112848 is an abundant number, since it is smaller than the sum of its proper divisors (18385136).

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

13112848 is a wasteful number, since it uses less digits than its factorization.

13112848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 13112848 is about 3621.1666628312. The cubic root of 13112848 is about 235.8118772768.

Adding to 13112848 its reverse (84821131), we get a palindrome (97933979).

The spelling of 13112848 in words is "thirteen million, one hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 71 97 112 119 136 142 194 238 272 284 388 476 497 568 679 776 952 994 1136 1207 1358 1552 1649 1904 1988 2414 2716 3298 3976 4828 5432 6596 6887 7952 8449 9656 10864 11543 13192 13774 16898 19312 23086 26384 27548 33796 46172 48209 55096 67592 92344 96418 110192 117079 135184 184688 192836 234158 385672 468316 771344 819553 936632 1639106 1873264 3278212 6556424 13112848