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13720064 = 29127211
BaseRepresentation
bin110100010101…
…101000000000
3221211001101112
4310111220000
512003020224
61210022452
7224422121
oct64255000
927731345
1013720064
1178210a6
124717a28
132ac4ba7
141b72048
15131030e
hexd15a00

13720064 has 40 divisors (see below), whose sum is σ = 27760128. Its totient is φ = 6773760.

The previous prime is 13720061. The next prime is 13720127. The reversal of 13720064 is 46002731.

It is not an unprimeable number, because it can be changed into a prime (13720061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64919 + ... + 65129.

Almost surely, 213720064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880064).

13720064 is an abundant number, since it is smaller than the sum of its proper divisors (14040064).

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

13720064 is an equidigital number, since it uses as much as digits as its factorization.

13720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 13720064 is about 3704.0604746683. The cubic root of 13720064 is about 239.3970047738.

Adding to 13720064 its reverse (46002731), we get a palindrome (59722795).

The spelling of 13720064 in words is "thirteen million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 127 128 211 254 256 422 508 512 844 1016 1688 2032 3376 4064 6752 8128 13504 16256 26797 27008 32512 53594 54016 65024 107188 108032 214376 428752 857504 1715008 3430016 6860032 13720064