Search a number
-
+
20415143200 = 255268337363
BaseRepresentation
bin10011000000110101…
…100101110100100000
31221200202200201122211
4103000311211310200
5313302234040300
613213435211504
71321622565634
oct230065456440
957622621584
1020415143200
1187268a8281
123b58ba6b94
131c046bbaba
14db94acdc4
157e74214ba
hex4c0d65d20

20415143200 has 72 divisors (see below), whose sum is σ = 49912774128. Its totient is φ = 8153882880.

The previous prime is 20415143191. The next prime is 20415143269. The reversal of 20415143200 is 234151402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527719 + ... + 565081.

It is an arithmetic number, because the mean of its divisors is an integer number (693232974).

Almost surely, 220415143200 is an apocalyptic number.

20415143200 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 20415143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24956387064).

20415143200 is an abundant number, since it is smaller than the sum of its proper divisors (29497630928).

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

20415143200 is a wasteful number, since it uses less digits than its factorization.

20415143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38066 (or 38053 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 20415143200 its reverse (234151402), we get a palindrome (20649294602).

The spelling of 20415143200 in words is "twenty billion, four hundred fifteen million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 683 800 1366 2732 3415 5464 6830 10928 13660 17075 21856 27320 34150 37363 54640 68300 74726 109280 136600 149452 186815 273200 298904 373630 546400 597808 747260 934075 1195616 1494520 1868150 2989040 3736300 5978080 7472600 14945200 25518929 29890400 51037858 102075716 127594645 204151432 255189290 408302864 510378580 637973225 816605728 1020757160 1275946450 2041514320 2551892900 4083028640 5103785800 10207571600 20415143200