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13755330 = 2325152837
BaseRepresentation
bin110100011110…
…001111000010
3221212211202200
4310132033002
512010132310
61210454030
7224630001
oct64361702
927784680
1013755330
117845646
124734316
132b07c64
141b80c38
15131a9c0
hexd1e3c2

13755330 has 24 divisors (see below), whose sum is σ = 35764092. Its totient is φ = 3668064.

The previous prime is 13755323. The next prime is 13755331. The reversal of 13755330 is 3355731.

13755330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12595401 + 1159929 = 3549^2 + 1077^2 .

It is a super-3 number, since 3×137553303 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13755294 and 13755303.

It is not an unprimeable number, because it can be changed into a prime (13755331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76329 + ... + 76508.

Almost surely, 213755330 is an apocalyptic number.

13755330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13755330 is an abundant number, since it is smaller than the sum of its proper divisors (22008762).

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

13755330 is a wasteful number, since it uses less digits than its factorization.

13755330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152850 (or 152847 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 13755330 is about 3708.8178709664. The cubic root of 13755330 is about 239.6019443303.

The spelling of 13755330 in words is "thirteen million, seven hundred fifty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 152837 305674 458511 764185 917022 1375533 1528370 2292555 2751066 4585110 6877665 13755330