Search a number
-
+
132821800 = 2352664109
BaseRepresentation
bin1111110101010…
…11001100101000
3100020221001020221
413322223030220
5233000244200
621102455424
73201652366
oct772531450
9306831227
10132821800
1168a79a91
1238594574
1321695ca7
14138d6636
15b9d991a
hex7eab328

132821800 has 24 divisors (see below), whose sum is σ = 308811150. Its totient is φ = 53128640.

The previous prime is 132821791. The next prime is 132821813. The reversal of 132821800 is 8128231.

It can be written as a sum of positive squares in 3 ways, for example, as 117029124 + 15792676 = 10818^2 + 3974^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 331855 + ... + 332254.

Almost surely, 2132821800 is an apocalyptic number.

132821800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132821800 is an abundant number, since it is smaller than the sum of its proper divisors (175989350).

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

132821800 is a wasteful number, since it uses less digits than its factorization.

132821800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664125 (or 664116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 132821800 is about 11524.8340552044. The cubic root of 132821800 is about 510.2187962907.

The spelling of 132821800 in words is "one hundred thirty-two million, eight hundred twenty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 664109 1328218 2656436 3320545 5312872 6641090 13282180 16602725 26564360 33205450 66410900 132821800