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13054048 = 257101577
BaseRepresentation
bin110001110011…
…000001100000
3220120012210021
4301303001200
511320212143
61143443224
7215646310
oct61630140
926505707
1013054048
117406777
124456514
1329209b7
141a3b440
15122cced
hexc73060

13054048 has 48 divisors (see below), whose sum is σ = 29713824. Its totient is φ = 5529600.

The previous prime is 13054043. The next prime is 13054057. The reversal of 13054048 is 84045031.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054043) 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, 22336 + ... + 22912.

It is an arithmetic number, because the mean of its divisors is an integer number (619038).

Almost surely, 213054048 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 13054048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856912).

13054048 is an abundant number, since it is smaller than the sum of its proper divisors (16659776).

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

13054048 is a wasteful number, since it uses less digits than its factorization.

13054048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 13054048 is about 3613.0386103666. The cubic root of 13054048 is about 235.4588770354.

Adding to 13054048 its reverse (84045031), we get a palindrome (97099079).

The spelling of 13054048 in words is "thirteen million, fifty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 577 707 808 1154 1414 1616 2308 2828 3232 4039 4616 5656 8078 9232 11312 16156 18464 22624 32312 58277 64624 116554 129248 233108 407939 466216 815878 932432 1631756 1864864 3263512 6527024 13054048