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10104064 = 28291361
BaseRepresentation
bin100110100010…
…110100000000
3201000100011121
4212202310000
510041312224
61000322024
7151611625
oct46426400
921010147
1010104064
115781373
123473314
13212a049
1414b034c
15d48be4
hex9a2d00

10104064 has 36 divisors (see below), whose sum is σ = 20879460. Its totient is φ = 4874240.

The previous prime is 10104053. The next prime is 10104089. The reversal of 10104064 is 46040101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 6718464 = 1840^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6744 + ... + 8104.

It is an arithmetic number, because the mean of its divisors is an integer number (579985).

Almost surely, 210104064 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 10104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439730).

10104064 is an abundant number, since it is smaller than the sum of its proper divisors (10775396).

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

10104064 is an equidigital number, since it uses as much as digits as its factorization.

10104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10104064 is about 3178.6890379526. The cubic root of 10104064 is about 216.1882218531.

Adding to 10104064 its reverse (46040101), we get a palindrome (56144165).

The spelling of 10104064 in words is "ten million, one hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1361 1856 2722 3712 5444 7424 10888 21776 39469 43552 78938 87104 157876 174208 315752 348416 631504 1263008 2526016 5052032 10104064