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20933500 = 225375981
BaseRepresentation
bin100111111011…
…0101101111100
31110101112100211
41033312231330
520324333000
62024402204
7342634420
oct117665574
943345324
1020933500
11108a8715
127016364
13444c2b3
142accb80
151c877ba
hex13f6b7c

20933500 has 48 divisors (see below), whose sum is σ = 52258752. Its totient is φ = 7176000.

The previous prime is 20933489. The next prime is 20933503. The reversal of 20933500 is 533902.

It is a super-2 number, since 2×209335002 = 876422844500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20933503) 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 15 ways as a sum of consecutive naturals, for example, 510 + ... + 6490.

It is an arithmetic number, because the mean of its divisors is an integer number (1088724).

Almost surely, 220933500 is an apocalyptic number.

20933500 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 20933500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26129376).

20933500 is an abundant number, since it is smaller than the sum of its proper divisors (31325252).

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

20933500 is a wasteful number, since it uses less digits than its factorization.

20933500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 20933500 is about 4575.3141968612. The cubic root of 20933500 is about 275.6008899233.

The spelling of 20933500 in words is "twenty million, nine hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3500 5981 11962 23924 29905 41867 59810 83734 119620 149525 167468 209335 299050 418670 598100 747625 837340 1046675 1495250 2093350 2990500 4186700 5233375 10466750 20933500