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13648041 = 331145953
BaseRepresentation
bin110100000100…
…000010101001
3221200101121000
4310010002221
511443214131
61204305213
7224002131
oct64040251
927611530
1013648041
117781a80
1246a2209
132a9b184
141b53ac1
1512e8ce6
hexd040a9

13648041 has 16 divisors (see below), whose sum is σ = 22057920. Its totient is φ = 8271360.

The previous prime is 13648031. The next prime is 13648043. The reversal of 13648041 is 14084631.

13648041 is a `hidden beast` number, since 13 + 648 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 13648041 - 222 = 9453737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13647996 and 13648014.

It is not an unprimeable number, because it can be changed into a prime (13648043) 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, 22680 + ... + 23273.

It is an arithmetic number, because the mean of its divisors is an integer number (1378620).

Almost surely, 213648041 is an apocalyptic number.

13648041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13648041 is a deficient number, since it is larger than the sum of its proper divisors (8409879).

13648041 is a wasteful number, since it uses less digits than its factorization.

13648041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45973 (or 45967 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13648041 is about 3694.3255135410. The cubic root of 13648041 is about 238.9773675341.

The spelling of 13648041 in words is "thirteen million, six hundred forty-eight thousand, forty-one".

Divisors: 1 3 9 11 27 33 99 297 45953 137859 413577 505483 1240731 1516449 4549347 13648041