Search a number
-
+
20023500 = 2235371907
BaseRepresentation
bin100110001100…
…0100011001100
31101200022002010
41030120203030
520111223000
61553101220
7332124360
oct114304314
941608063
1020023500
1110336a52
126857810
1341c1033
1429332a0
151b57d50
hex13188cc

20023500 has 96 divisors (see below), whose sum is σ = 66673152. Its totient is φ = 4574400.

The previous prime is 20023469. The next prime is 20023513. The reversal of 20023500 is 532002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9547 + ... + 11453.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 220023500 is an apocalyptic number.

20023500 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 20023500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33336576).

20023500 is an abundant number, since it is smaller than the sum of its proper divisors (46649652).

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

20023500 is a wasteful number, since it uses less digits than its factorization.

20023500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 20023500 is about 4474.7625635334. The cubic root of 20023500 is about 271.5480347367.

Adding to 20023500 its reverse (532002), we get a palindrome (20555502).

The spelling of 20023500 in words is "twenty million, twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 1907 2100 2625 3500 3814 5250 5721 7628 9535 10500 11442 13349 19070 22884 26698 28605 38140 40047 47675 53396 57210 66745 80094 95350 114420 133490 143025 160188 190700 200235 238375 266980 286050 333725 400470 476750 572100 667450 715125 800940 953500 1001175 1334900 1430250 1668625 2002350 2860500 3337250 4004700 5005875 6674500 10011750 20023500