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21048100 = 2252210481
BaseRepresentation
bin101000001001…
…0101100100100
31110121100120021
41100102230210
520342014400
62031044524
7343622503
oct120225444
943540507
1021048100
1110976827
127070744
13448c4c8
142b1c83a
151cab71a
hex1412b24

21048100 has 18 divisors (see below), whose sum is σ = 45674594. Its totient is φ = 8419200.

The previous prime is 21048061. The next prime is 21048103. The reversal of 21048100 is 184012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 181476 + 20866624 = 426^2 + 4568^2 .

It is a super-2 number, since 2×210481002 = 886045027220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21048103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105141 + ... + 105340.

Almost surely, 221048100 is an apocalyptic number.

21048100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21048100 is an abundant number, since it is smaller than the sum of its proper divisors (24626494).

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

21048100 is a wasteful number, since it uses less digits than its factorization.

21048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210495 (or 210488 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 21048100 is about 4587.8208334677. The cubic root of 21048100 is about 276.1028986904.

The spelling of 21048100 in words is "twenty-one million, forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 210481 420962 841924 1052405 2104810 4209620 5262025 10524050 21048100