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13306000 = 24536653
BaseRepresentation
bin110010110000…
…100010010000
3221001000101211
4302300202100
511401243000
61153105504
7221046001
oct62604220
927030354
1013306000
117568aa4
124558294
1329ab596
141aa51a8
15127c7ba
hexcb0890

13306000 has 40 divisors (see below), whose sum is σ = 32178744. Its totient is φ = 5321600.

The previous prime is 13305989. The next prime is 13306031. The reversal of 13306000 is 60331.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 9935104 = 1836^2 + 3152^2 .

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 7 ways as a sum of consecutive naturals, for example, 1327 + ... + 5326.

Almost surely, 213306000 is an apocalyptic number.

13306000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13306000 is an abundant number, since it is smaller than the sum of its proper divisors (18872744).

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

13306000 is an equidigital number, since it uses as much as digits as its factorization.

13306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13306000 is about 3647.7390257528. The cubic root of 13306000 is about 236.9640731978.

Adding to 13306000 its reverse (60331), we get a palindrome (13366331).

The spelling of 13306000 in words is "thirteen million, three hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6653 13306 26612 33265 53224 66530 106448 133060 166325 266120 332650 532240 665300 831625 1330600 1663250 2661200 3326500 6653000 13306000