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940648900 = 225230672
BaseRepresentation
bin111000000100010…
…010100111000100
32102112222220201011
4320010102213010
53411301231100
6233201212004
732211245422
oct7004224704
92375886634
10940648900
11442a76494
12223031004
1311cb596a9
148ccdc112
15578aabba
hex381129c4

940648900 has 27 divisors (see below), whose sum is σ = 2041873869. Its totient is φ = 376136880.

The previous prime is 940648847. The next prime is 940648909. The reversal of 940648900 is 9846049.

The square root of 940648900 is 30670.

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

It can be written as a sum of positive squares in only one way, i.e., 338633604 + 602015296 = 18402^2 + 24536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (940648909) by changing a digit.

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, 305167 + ... + 308233.

Almost surely, 2940648900 is an apocalyptic number.

940648900 is the 30670-th square number.

It is an amenable number.

940648900 is an abundant number, since it is smaller than the sum of its proper divisors (1101224969).

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

940648900 is an equidigital number, since it uses as much as digits as its factorization.

940648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The cubic root of 940648900 is about 979.8114658837.

The spelling of 940648900 in words is "nine hundred forty million, six hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3067 6134 12268 15335 30670 61340 76675 153350 306700 9406489 18812978 37625956 47032445 94064890 188129780 235162225 470324450 940648900