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13106448 = 24353371
BaseRepresentation
bin110001111111…
…110100010000
3220122212200000
4301333310100
511323401243
61144530000
7216255135
oct61776420
926585600
1013106448
117442083
124480900
13293b7c4
141a5258c
15123d5d3
hexc7fd10

13106448 has 60 divisors (see below), whose sum is σ = 38049648. Its totient is φ = 4367520.

The previous prime is 13106417. The next prime is 13106453. The reversal of 13106448 is 84460131.

13106448 is a `hidden beast` number, since 1 + 3 + 10 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2203 + ... + 5573.

Almost surely, 213106448 is an apocalyptic number.

13106448 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 13106448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19024824).

13106448 is an abundant number, since it is smaller than the sum of its proper divisors (24943200).

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

13106448 is an equidigital number, since it uses as much as digits as its factorization.

13106448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13106448 is about 3620.2828618770. The cubic root of 13106448 is about 235.7735067257.

Adding to 13106448 its reverse (84460131), we get a palindrome (97566579).

The spelling of 13106448 in words is "thirteen million, one hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3371 3888 6742 10113 13484 20226 26968 30339 40452 53936 60678 80904 91017 121356 161808 182034 242712 273051 364068 485424 546102 728136 819153 1092204 1456272 1638306 2184408 3276612 4368816 6553224 13106448