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13040448 = 263232953
BaseRepresentation
bin110001101111…
…101101000000
3220112112010120
4301233231000
511314243243
61143300240
7215561541
oct61575500
926475116
1013040448
1173a7533
12444a680
132917755
141a364c8
151228c83
hexc6fb40

13040448 has 56 divisors (see below), whose sum is σ = 36015168. Its totient is φ = 4156416.

The previous prime is 13040381. The next prime is 13040449. The reversal of 13040448 is 84404031.

13040448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940 + ... + 5892.

It is an arithmetic number, because the mean of its divisors is an integer number (643128).

Almost surely, 213040448 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 13040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007584).

13040448 is an abundant number, since it is smaller than the sum of its proper divisors (22974720).

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

13040448 is a wasteful number, since it uses less digits than its factorization.

13040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13040448 is about 3611.1560475837. The cubic root of 13040448 is about 235.3770798430.

Adding to 13040448 its reverse (84404031), we get a palindrome (97444479).

The spelling of 13040448 in words is "thirteen million, forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2953 4416 5906 8859 11812 17718 23624 35436 47248 67919 70872 94496 135838 141744 188992 203757 271676 283488 407514 543352 566976 815028 1086704 1630056 2173408 3260112 4346816 6520224 13040448