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13409760 = 2535713307
BaseRepresentation
bin110011001001…
…110111100000
3221020021201210
4303021313200
511413103020
61155230120
7221660340
oct63116740
927207653
1013409760
117629a51
1245a8340
132a16890
141ad0d20
15129d3e0
hexcc9de0

13409760 has 192 divisors, whose sum is σ = 52157952. Its totient is φ = 2820096.

The previous prime is 13409741. The next prime is 13409761. The reversal of 13409760 is 6790431.

It is a happy number.

13409760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43527 + ... + 43833.

It is an arithmetic number, because the mean of its divisors is an integer number (271656).

Almost surely, 213409760 is an apocalyptic number.

13409760 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 13409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078976).

13409760 is an abundant number, since it is smaller than the sum of its proper divisors (38748192).

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

13409760 is a wasteful number, since it uses less digits than its factorization.

13409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13409760 is about 3661.9339152967. The cubic root of 13409760 is about 237.5784265463.

The spelling of 13409760 in words is "thirteen million, four hundred nine thousand, seven hundred sixty".