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13326900 = 22352311433
BaseRepresentation
bin110010110101…
…101000110100
3221002002001220
4302311220310
511402430100
61153350340
7221163636
oct62655064
927062056
1013326900
117582774
1245683b0
1329b7c52
141aaca56
151283aa0
hexcb5a34

13326900 has 72 divisors (see below), whose sum is σ = 39830784. Its totient is φ = 3436800.

The previous prime is 13326877. The next prime is 13326941. The reversal of 13326900 is 962331.

13326900 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 a super-2 number, since 2×133269002 = 355212527220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8584 + ... + 10016.

Almost surely, 213326900 is an apocalyptic number.

13326900 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 13326900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19915392).

13326900 is an abundant number, since it is smaller than the sum of its proper divisors (26503884).

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

13326900 is a wasteful number, since it uses less digits than its factorization.

13326900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 13326900 is about 3650.6026899678. The cubic root of 13326900 is about 237.0880763634.

The spelling of 13326900 in words is "thirteen million, three hundred twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1433 1550 1860 2325 2866 3100 4299 4650 5732 7165 8598 9300 14330 17196 21495 28660 35825 42990 44423 71650 85980 88846 107475 133269 143300 177692 214950 222115 266538 429900 444230 533076 666345 888460 1110575 1332690 2221150 2665380 3331725 4442300 6663450 13326900