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13045000 = 23542609
BaseRepresentation
bin110001110000…
…110100001000
3220112202101011
4301300310020
511314420000
61143333304
7215611033
oct61606410
926482334
1013045000
1173aa9a1
124451234
132919847
141a3801a
15122a2ba
hexc70d08

13045000 has 40 divisors (see below), whose sum is σ = 30576150. Its totient is φ = 5216000.

The previous prime is 13044989. The next prime is 13045013. The reversal of 13045000 is 54031.

It can be written as a sum of positive squares in 5 ways, for example, as 128164 + 12916836 = 358^2 + 3594^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3696 + ... + 6304.

Almost surely, 213045000 is an apocalyptic number.

13045000 is a gapful number since it is divisible by the number (10) 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 13045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288075).

13045000 is an abundant number, since it is smaller than the sum of its proper divisors (17531150).

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

13045000 is an equidigital number, since it uses as much as digits as its factorization.

13045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13045000 is about 3611.7862616716. The cubic root of 13045000 is about 235.4044641738.

Adding to 13045000 its reverse (54031), we get a palindrome (13099031).

The spelling of 13045000 in words is "thirteen million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 2609 5000 5218 10436 13045 20872 26090 52180 65225 104360 130450 260900 326125 521800 652250 1304500 1630625 2609000 3261250 6522500 13045000