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13277840 = 245269617
BaseRepresentation
bin110010101001…
…101010010000
3220222120202212
4302221222100
511344342330
61152331252
7220600622
oct62515220
926876685
1013277840
117549924
124543b28
13299b814
141a98c12
151274295
hexca9a90

13277840 has 40 divisors (see below), whose sum is σ = 31035960. Its totient is φ = 5282816.

The previous prime is 13277807. The next prime is 13277843. The reversal of 13277840 is 4877231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 12475024 = 896^2 + 3532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13277797 and 13277806.

It is not an unprimeable number, because it can be changed into a prime (13277843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21212 + ... + 21828.

It is an arithmetic number, because the mean of its divisors is an integer number (775899).

Almost surely, 213277840 is an apocalyptic number.

13277840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13277840 is an abundant number, since it is smaller than the sum of its proper divisors (17758120).

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

13277840 is a wasteful number, since it uses less digits than its factorization.

13277840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 13277840 is about 3643.8770561038. The cubic root of 13277840 is about 236.7967897361.

The spelling of 13277840 in words is "thirteen million, two hundred seventy-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 617 1076 1234 1345 2152 2468 2690 3085 4304 4936 5380 6170 9872 10760 12340 21520 24680 49360 165973 331946 663892 829865 1327784 1659730 2655568 3319460 6638920 13277840