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4120900 = 225272292
BaseRepresentation
bin1111101110000101000100
321202100210221
433232011010
52023332100
6224154124
750012200
oct17560504
97670727
104120900
112365103
121468944
13b13904
14793b00
1556601a
hex3ee144

4120900 has 81 divisors (see below), whose sum is σ = 10773399. Its totient is φ = 1364160.

The previous prime is 4120889. The next prime is 4120903. The reversal of 4120900 is 90214.

The square root of 4120900 is 2030.

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

4120900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56644 + 4064256 = 238^2 + 2016^2 .

It is not an unprimeable number, because it can be changed into a prime (4120903) 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 26 ways as a sum of consecutive naturals, for example, 142086 + ... + 142114.

Almost surely, 24120900 is an apocalyptic number.

4120900 is the 2030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120900

4120900 is an abundant number, since it is smaller than the sum of its proper divisors (6652499).

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

4120900 is a wasteful number, since it uses less digits than its factorization.

4120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 4120900 is about 160.3235639736.

Multiplying 4120900 by its sum of digits (16), we get a square (65934400 = 81202).

The spelling of 4120900 in words is "four million, one hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 49 50 58 70 98 100 116 140 145 175 196 203 245 290 350 406 490 580 700 725 812 841 980 1015 1225 1421 1450 1682 2030 2450 2842 2900 3364 4060 4205 4900 5075 5684 5887 7105 8410 10150 11774 14210 16820 20300 21025 23548 28420 29435 35525 41209 42050 58870 71050 82418 84100 117740 142100 147175 164836 206045 294350 412090 588700 824180 1030225 2060450 4120900