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20424300 = 22352135237
BaseRepresentation
bin100110111101…
…0011001101100
31102102122212120
41031322121230
520212034200
62005432540
7335414031
oct115723154
942378776
1020424300
1110590096
126a0b750
1343015b0
1429d9388
151bd69a0
hex137a66c

20424300 has 72 divisors (see below), whose sum is σ = 63652176. Its totient is φ = 5026560.

The previous prime is 20424277. The next prime is 20424301. The reversal of 20424300 is 342402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20424300.

It is not an unprimeable number, because it can be changed into a prime (20424301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282 + ... + 6518.

It is an arithmetic number, because the mean of its divisors is an integer number (884058).

Almost surely, 220424300 is an apocalyptic number.

20424300 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 20424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31826088).

20424300 is an abundant number, since it is smaller than the sum of its proper divisors (43227876).

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

20424300 is a wasteful number, since it uses less digits than its factorization.

20424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20424300 is about 4519.3251708635. The cubic root of 20424300 is about 273.3478906914.

Adding to 20424300 its reverse (342402), we get a palindrome (20766702).

The spelling of 20424300 in words is "twenty million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5237 10474 15711 20948 26185 31422 52370 62844 68081 78555 104740 130925 136162 157110 204243 261850 272324 314220 340405 392775 408486 523700 680810 785550 816972 1021215 1361620 1571100 1702025 2042430 3404050 4084860 5106075 6808100 10212150 20424300