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2040100 = 225223887
BaseRepresentation
bin111110010000100100100
310211122111021
413302010210
51010240400
6111420524
723224546
oct7620444
93748437
102040100
111173837
12824744
1356577a
143b1696
152a471a
hex1f2124

2040100 has 36 divisors (see below), whose sum is σ = 4624704. Its totient is φ = 779680.

The previous prime is 2040097. The next prime is 2040107. The reversal of 2040100 is 10402.

It is not an unprimeable number, because it can be changed into a prime (2040107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (128464).

22040100 is an apocalyptic number.

2040100 is a gapful number since it is divisible by the number (20) 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 2040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312352).

2040100 is an abundant number, since it is smaller than the sum of its proper divisors (2584604).

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

2040100 is a wasteful number, since it uses less digits than its factorization.

2040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2040100 is about 1428.3206922817. The cubic root of 2040100 is about 126.8285864025.

Adding to 2040100 its reverse (10402), we get a palindrome (2050502).

The spelling of 2040100 in words is "two million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 887 1150 1774 2300 3548 4435 8870 17740 20401 22175 40802 44350 81604 88700 102005 204010 408020 510025 1020050 2040100