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10004010 = 235312347
BaseRepresentation
bin100110001010…
…011000101010
3200211020220220
4212022120222
510030112020
6554230510
7151014132
oct46123052
920736826
1010004010
115713185
123425436
1320c3643
141485ac2
15d29240
hex98a62a

10004010 has 48 divisors (see below), whose sum is σ = 24880608. Its totient is φ = 2574240.

The previous prime is 10003999. The next prime is 10004017. The reversal of 10004010 is 1040001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10004010.

It is not an unprimeable number, because it can be changed into a prime (10004017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28657 + ... + 29003.

It is an arithmetic number, because the mean of its divisors is an integer number (518346).

Almost surely, 210004010 is an apocalyptic number.

10004010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440304).

10004010 is an abundant number, since it is smaller than the sum of its proper divisors (14876598).

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

10004010 is a wasteful number, since it uses less digits than its factorization.

10004010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10004010 is about 3162.9116332898. The cubic root of 10004010 is about 215.4722627651.

Adding to 10004010 its reverse (1040001), we get a palindrome (11044011).

The spelling of 10004010 in words is "ten million, four thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 347 465 694 930 961 1041 1735 1922 2082 2883 3470 4805 5205 5766 9610 10410 10757 14415 21514 28830 32271 53785 64542 107570 161355 322710 333467 666934 1000401 1667335 2000802 3334670 5002005 10004010