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20948500 = 225341897
BaseRepresentation
bin100111111101…
…0011000010100
31110102021221101
41033322120110
520330323000
62024555444
7343026226
oct117723024
943367841
1020948500
1110908a11
127022b84
134456081
142ad4416
151c8be6a
hex13fa614

20948500 has 24 divisors (see below), whose sum is σ = 45752616. Its totient is φ = 8379200.

The previous prime is 20948497. The next prime is 20948503. The reversal of 20948500 is 584902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20948497) and next prime (20948503).

It can be written as a sum of positive squares in 4 ways, for example, as 264196 + 20684304 = 514^2 + 4548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20948503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20449 + ... + 21448.

It is an arithmetic number, because the mean of its divisors is an integer number (1906359).

Almost surely, 220948500 is an apocalyptic number.

20948500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20948500 is an abundant number, since it is smaller than the sum of its proper divisors (24804116).

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

20948500 is a wasteful number, since it uses less digits than its factorization.

20948500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41916 (or 41904 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 20948500 is about 4576.9531350015. The cubic root of 20948500 is about 275.6667019205. Note that the first 3 decimals are identical.

The spelling of 20948500 in words is "twenty million, nine hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 41897 83794 167588 209485 418970 837940 1047425 2094850 4189700 5237125 10474250 20948500