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13045984 = 257139419
BaseRepresentation
bin110001110001…
…000011100000
3220112210201121
4301301003200
511314432414
61143342024
7215613640
oct61610340
926483647
1013045984
117400706
124451914
13291a123
141a38520
15122a724
hexc710e0

13045984 has 48 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 5537664.

The previous prime is 13045961. The next prime is 13045997. The reversal of 13045984 is 48954031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30927 + ... + 31345.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 213045984 is an apocalyptic number.

13045984 is a gapful number since it is divisible by the number (14) 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 13045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

13045984 is an abundant number, since it is smaller than the sum of its proper divisors (16589216).

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

13045984 is a wasteful number, since it uses less digits than its factorization.

13045984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 13045984 is about 3611.9224797883. The cubic root of 13045984 is about 235.4103829720.

The spelling of 13045984 in words is "thirteen million, forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 224 278 419 556 838 973 1112 1676 1946 2224 2933 3352 3892 4448 5866 6704 7784 11732 13408 15568 23464 31136 46928 58241 93856 116482 232964 407687 465928 815374 931856 1630748 1863712 3261496 6522992 13045984