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4206100 = 225242061
BaseRepresentation
bin10000000010111000010100
321220200200111
4100002320110
52034043400
6230052404
750515453
oct20027024
97820614
104206100
112413118
1214aa104
13b43622
147b6b9a
155813ba
hex402e14

4206100 has 18 divisors (see below), whose sum is σ = 9127454. Its totient is φ = 1682400.

The previous prime is 4206091. The next prime is 4206101. The reversal of 4206100 is 16024.

It can be written as a sum of positive squares in 3 ways, for example, as 1397124 + 2808976 = 1182^2 + 1676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20931 + ... + 21130.

Almost surely, 24206100 is an apocalyptic number.

It is an amenable number.

4206100 is an abundant number, since it is smaller than the sum of its proper divisors (4921354).

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

4206100 is a wasteful number, since it uses less digits than its factorization.

4206100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42075 (or 42068 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4206100 is about 2050.8778608196. The cubic root of 4206100 is about 161.4209372520.

The spelling of 4206100 in words is "four million, two hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 42061 84122 168244 210305 420610 841220 1051525 2103050 4206100