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13326000 = 243532221
BaseRepresentation
bin110010110101…
…011010110000
3221002000211120
4302311122300
511402413000
61153342240
7221161212
oct62653260
927060746
1013326000
117582026
124567980
1329b770c
141aac5b2
1512836a0
hexcb56b0

13326000 has 80 divisors (see below), whose sum is σ = 42982368. Its totient is φ = 3552000.

The previous prime is 13325971. The next prime is 13326029. The reversal of 13326000 is 62331.

13326000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13325971) and next prime (13326029).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4890 + ... + 7110.

Almost surely, 213326000 is an apocalyptic number.

13326000 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 13326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21491184).

13326000 is an abundant number, since it is smaller than the sum of its proper divisors (29656368).

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

13326000 is a wasteful number, since it uses less digits than its factorization.

13326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13326000 is about 3650.4794205693. The cubic root of 13326000 is about 237.0827391864.

Adding to 13326000 its reverse (62331), we get a palindrome (13388331).

The spelling of 13326000 in words is "thirteen million, three hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2221 3000 4442 6000 6663 8884 11105 13326 17768 22210 26652 33315 35536 44420 53304 55525 66630 88840 106608 111050 133260 166575 177680 222100 266520 277625 333150 444200 533040 555250 666300 832875 888400 1110500 1332600 1665750 2221000 2665200 3331500 4442000 6663000 13326000