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4194100 = 225241941
BaseRepresentation
bin1111111111111100110100
321220002020001
433333330310
52033202400
6225521044
750435461
oct17777464
97802201
104194100
1124050a9
1214a3184
13b3b021
147b2668
1557ca6a
hex3fff34

4194100 has 18 divisors (see below), whose sum is σ = 9101414. Its totient is φ = 1677600.

The previous prime is 4194023. The next prime is 4194103. The reversal of 4194100 is 14914.

It can be written as a sum of positive squares in 3 ways, for example, as 24336 + 4169764 = 156^2 + 2042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20871 + ... + 21070.

Almost surely, 24194100 is an apocalyptic number.

It is an amenable number.

4194100 is an abundant number, since it is smaller than the sum of its proper divisors (4907314).

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

4194100 is a wasteful number, since it uses less digits than its factorization.

4194100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41955 (or 41948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 4194100 is about 2047.9501947069. The cubic root of 4194100 is about 161.2672797619.

The spelling of 4194100 in words is "four million, one hundred ninety-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 41941 83882 167764 209705 419410 838820 1048525 2097050 4194100