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20936000 = 26532617
BaseRepresentation
bin100111111011…
…1010101000000
31110101122210102
41033313111000
520324423000
62024421532
7342644621
oct117672500
943348712
1020936000
11108aa588
1270178a8
134450487
142acda48
151c883d5
hex13f7540

20936000 has 56 divisors (see below), whose sum is σ = 51867816. Its totient is φ = 8371200.

The previous prime is 20935997. The next prime is 20936017. The reversal of 20936000 is 63902.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 20720704 = 464^2 + 4552^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 6692 + ... + 9308.

It is an arithmetic number, because the mean of its divisors is an integer number (926211).

Almost surely, 220936000 is an apocalyptic number.

20936000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933908).

20936000 is an abundant number, since it is smaller than the sum of its proper divisors (30931816).

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

20936000 is an equidigital number, since it uses as much as digits as its factorization.

20936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 20936000 is about 4575.5873939856. The cubic root of 20936000 is about 275.6118607723.

Adding to 20936000 its reverse (63902), we get a palindrome (20999902).

The spelling of 20936000 in words is "twenty million, nine hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2617 4000 5234 8000 10468 13085 20936 26170 41872 52340 65425 83744 104680 130850 167488 209360 261700 327125 418720 523400 654250 837440 1046800 1308500 2093600 2617000 4187200 5234000 10468000 20936000