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20923000 = 23537361
BaseRepresentation
bin100111111010…
…0001001111000
31110100222221221
41033310021320
520324014000
62024241424
7342562000
oct117641170
943328857
1020923000
11108a083a
127010274
134447597
142ac9000
151c8461a
hex13f4278

20923000 has 128 divisors (see below), whose sum is σ = 58032000. Its totient is φ = 7056000.

The previous prime is 20922991. The next prime is 20923003. The reversal of 20923000 is 32902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20923003) 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 31 ways as a sum of consecutive naturals, for example, 342970 + ... + 343030.

It is an arithmetic number, because the mean of its divisors is an integer number (453375).

Almost surely, 220923000 is an apocalyptic number.

20923000 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 20923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016000).

20923000 is an abundant number, since it is smaller than the sum of its proper divisors (37109000).

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

20923000 is an equidigital number, since it uses as much as digits as its factorization.

20923000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 20923000 is about 4574.1665907573. The cubic root of 20923000 is about 275.5548028172.

Adding to 20923000 its reverse (32902), we get a palindrome (20955902).

The spelling of 20923000 in words is "twenty million, nine hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 61 70 98 100 122 125 140 175 196 200 244 245 250 280 305 343 350 392 427 488 490 500 610 686 700 854 875 980 1000 1220 1225 1372 1400 1525 1708 1715 1750 1960 2135 2440 2450 2744 2989 3050 3416 3430 3500 4270 4900 5978 6100 6125 6860 7000 7625 8540 8575 9800 10675 11956 12200 12250 13720 14945 15250 17080 17150 20923 21350 23912 24500 29890 30500 34300 41846 42700 42875 49000 53375 59780 61000 68600 74725 83692 85400 85750 104615 106750 119560 149450 167384 171500 209230 213500 298900 343000 373625 418460 427000 523075 597800 747250 836920 1046150 1494500 2092300 2615375 2989000 4184600 5230750 10461500 20923000