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20023400 = 2352531889
BaseRepresentation
bin100110001100…
…0100001101000
31101200021221102
41030120201220
520111222100
61553100532
7332124155
oct114304150
941607842
1020023400
1110336971
126857748
1341c0c87
14293322c
151b57cd5
hex1318868

20023400 has 48 divisors (see below), whose sum is σ = 47457900. Its totient is φ = 7854080.

The previous prime is 20023391. The next prime is 20023403. The reversal of 20023400 is 432002.

It can be written as a sum of positive squares in 6 ways, for example, as 9278116 + 10745284 = 3046^2 + 3278^2 .

It is not an unprimeable number, because it can be changed into a prime (20023403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9656 + ... + 11544.

Almost surely, 220023400 is an apocalyptic number.

20023400 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 20023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23728950).

20023400 is an abundant number, since it is smaller than the sum of its proper divisors (27434500).

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

20023400 is a wasteful number, since it uses less digits than its factorization.

20023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 20023400 is about 4474.7513897422. The cubic root of 20023400 is about 271.5475826871.

Adding to 20023400 its reverse (432002), we get a palindrome (20455402).

The spelling of 20023400 in words is "twenty million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 1889 2120 2650 3778 5300 7556 9445 10600 15112 18890 37780 47225 75560 94450 100117 188900 200234 377800 400468 500585 800936 1001170 2002340 2502925 4004680 5005850 10011700 20023400