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1010000 = 2454101
BaseRepresentation
bin11110110100101010000
31220022110102
43312211100
5224310000
633351532
711404415
oct3664520
91808412
101010000
1162a912
124085a8
13294944
141c410c
1514e3d5
hexf6950

1010000 has 50 divisors (see below), whose sum is σ = 2469522. Its totient is φ = 400000.

The previous prime is 1009997. The next prime is 1010003. The reversal of 1010000 is 101.

1010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1009997) and next prime (1010003).

It can be written as a sum of positive squares in 5 ways, for example, as 141376 + 868624 = 376^2 + 932^2 .

It is a sliding number, since 1010000 = 10000 + 1000000 and 1/10000 + 1/1000000 = 0.0001010000.

It is a tau number, because it is divible by the number of its divisors (50).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9950 + ... + 10050.

21010000 is an apocalyptic number.

1010000 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 1010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234761).

1010000 is an abundant number, since it is smaller than the sum of its proper divisors (1459522).

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

1010000 is an equidigital number, since it uses as much as digits as its factorization.

1010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

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

The square root of 1010000 is about 1004.9875621121. The cubic root of 1010000 is about 100.3322283542.

Adding to 1010000 its reverse (101), we get a palindrome (1010101).

Multiplying 1010000 by its reverse (101), we get a square (102010000 = 101002).

1010000 divided by its reverse (101) gives a 4-th power (10000 = 104).

The spelling of 1010000 in words is "one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 202000 252500 505000 1010000