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10004060 = 22511371229
BaseRepresentation
bin100110001010…
…011001011100
3200211020222202
4212022121130
510030112220
6554231032
7151014233
oct46123134
920736882
1010004060
115713220
123425478
1320c3681
141485b1a
15d29275
hex98a65c

10004060 has 48 divisors (see below), whose sum is σ = 23556960. Its totient is φ = 3536640.

The previous prime is 10004047. The next prime is 10004063. The reversal of 10004060 is 6040001.

10004060 = T232 + T233 + ... + T416.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7526 + ... + 8754.

It is an arithmetic number, because the mean of its divisors is an integer number (490770).

Almost surely, 210004060 is an apocalyptic number.

10004060 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 10004060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778480).

10004060 is an abundant number, since it is smaller than the sum of its proper divisors (13552900).

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

10004060 is a wasteful number, since it uses less digits than its factorization.

10004060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10004060 is about 3162.9195373895. The cubic root of 10004060 is about 215.4726217410.

Adding to 10004060 its reverse (6040001), we get a palindrome (16044061).

The spelling of 10004060 in words is "ten million, four thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1229 1628 2035 2458 4070 4916 6145 8140 12290 13519 24580 27038 45473 54076 67595 90946 135190 181892 227365 270380 454730 500203 909460 1000406 2000812 2501015 5002030 10004060