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13131448 = 2311372109
BaseRepresentation
bin110010000101…
…111010111000
3220201010221221
4302011322320
511330201243
61145241424
7216421051
oct62057270
926633857
1013131448
117459940
124493274
132949cb5
141a5b728
151245bed
hexc85eb8

13131448 has 48 divisors (see below), whose sum is σ = 27858600. Its totient is φ = 5754240.

The previous prime is 13131421. The next prime is 13131449. The reversal of 13131448 is 84413131.

13131448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131449) 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, 120418 + ... + 120526.

Almost surely, 213131448 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 13131448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929300).

13131448 is an abundant number, since it is smaller than the sum of its proper divisors (14727152).

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

13131448 is a wasteful number, since it uses less digits than its factorization.

13131448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 13131448 is about 3623.7339858218. The cubic root of 13131448 is about 235.9233208706.

Adding to 13131448 its reverse (84413131), we get a palindrome (97544579).

The spelling of 13131448 in words is "thirteen million, one hundred thirty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 109 148 218 296 407 436 814 872 1199 1369 1628 2398 2738 3256 4033 4796 5476 8066 9592 10952 15059 16132 30118 32264 44363 60236 88726 120472 149221 177452 298442 354904 596884 1193768 1641431 3282862 6565724 13131448