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13660128 = 253247431
BaseRepresentation
bin110100000110…
…111111100000
3221201000011200
4310012333200
511444111003
61204441200
7224052306
oct64067740
927630150
1013660128
117790069
1246a9200
132aa3821
141b58276
1512ec6a3
hexd06fe0

13660128 has 36 divisors (see below), whose sum is σ = 38846808. Its totient is φ = 4553280.

The previous prime is 13660123. The next prime is 13660147. The reversal of 13660128 is 82106631.

13660128 is a `hidden beast` number, since 1 + 36 + 601 + 28 = 666.

13660128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13660123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23428 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (1079078).

Almost surely, 213660128 is an apocalyptic number.

13660128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13660128 is an abundant number, since it is smaller than the sum of its proper divisors (25186680).

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

13660128 is a wasteful number, since it uses less digits than its factorization.

13660128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47447 (or 47436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13660128 is about 3695.9610387557. The cubic root of 13660128 is about 239.0478945582.

Adding to 13660128 its reverse (82106631), we get a palindrome (95766759).

The spelling of 13660128 in words is "thirteen million, six hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 47431 94862 142293 189724 284586 379448 426879 569172 758896 853758 1138344 1517792 1707516 2276688 3415032 4553376 6830064 13660128