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13755380 = 22517231759
BaseRepresentation
bin110100011110…
…001111110100
3221212211211112
4310132033310
512010133010
61210454152
7224630102
oct64361764
927784745
1013755380
117845691
124734358
132b07ca2
141b80c72
15131aa05
hexd1e3f4

13755380 has 48 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 4950528.

The previous prime is 13755361. The next prime is 13755383. The reversal of 13755380 is 8355731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6941 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 213755380 is an apocalyptic number.

13755380 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 13755380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

13755380 is an abundant number, since it is smaller than the sum of its proper divisors (18178060).

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

13755380 is a wasteful number, since it uses less digits than its factorization.

13755380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 13755380 is about 3708.8246116526. The cubic root of 13755380 is about 239.6022346441.

The spelling of 13755380 in words is "thirteen million, seven hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1759 1955 3518 3910 7036 7820 8795 17590 29903 35180 40457 59806 80914 119612 149515 161828 202285 299030 404570 598060 687769 809140 1375538 2751076 3438845 6877690 13755380