Search a number
BaseRepresentation
bin100110001011…
…110110010000
3200211120010202
4212023312100
510030310000
6554314332
7151040450
oct46136620
920746122
1010010000
115717730
1234289a8
1320c62a0
141487d60
hex98bd90

10010000 has 200 divisors, whose sum is σ = 32539584. Its totient is φ = 2880000.

The previous prime is 10009981. The next prime is 10010023. The reversal of 10010000 is 1001.

It is a sliding number, since 10010000 = 10000 + 10000000 and 1/10000 + 1/10000000 = 0.00010010000.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 769994 + ... + 770006.

Almost surely, 210010000 is an apocalyptic number.

10010000 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 10010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269792).

10010000 is an abundant number, since it is smaller than the sum of its proper divisors (22529584).

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

10010000 is a wasteful number, since it uses less digits than its factorization.

10010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 10010000 is about 3163.8584039113. The cubic root of 10010000 is about 215.5152595680.

Adding to 10010000 its reverse (1001), we get a palindrome (10011001).

Multiplying 10010000 by its reverse (1001), we get a square (10020010000 = 1001002).

10010000 divided by its reverse (1001) gives a 4-th power (10000 = 104).

The spelling of 10010000 in words is "ten million, ten thousand".