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940900 = 2252972
BaseRepresentation
bin11100101101101100100
31202210200011
43211231210
5220102100
632100004
710666102
oct3455544
91683604
10940900
11592a04
12394604
1326c35c
141a6c72
15138bba
hexe5b64

940900 has 27 divisors (see below), whose sum is σ = 2063019. Its totient is φ = 372480.

The previous prime is 940889. The next prime is 940903. The reversal of 940900 is 9049.

Multipling 940900 by its product of nonzero digits (324), we get a square (304851600 = 174602).

Adding to 940900 its reverse (9049), we get a palindrome (949949).

The square root of 940900 is 970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 906304 = 186^2 + 952^2 .

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (940903) by changing a digit.

940900 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 8 ways as a sum of consecutive naturals, for example, 9652 + ... + 9748.

2940900 is an apocalyptic number.

940900 is the 970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940900

940900 is an abundant number, since it is smaller than the sum of its proper divisors (1122119).

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

940900 is a wasteful number, since it uses less digits than its factorization.

940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The cubic root of 940900 is about 97.9898642856.

The spelling of 940900 in words is "nine hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9409 9700 18818 37636 47045 94090 188180 235225 470450 940900