Search a number
-
+
80132200 = 23521492689
BaseRepresentation
bin1001100011010…
…11100001101000
312120210010201021
410301223201220
5131003212300
611541302224
71662053401
oct461534150
9176703637
1080132200
1141261565
1222a04974
13137a8605
14a8dc9a8
15707cd1a
hex4c6b868

80132200 has 48 divisors (see below), whose sum is σ = 187627500. Its totient is φ = 31825920.

The previous prime is 80132189. The next prime is 80132243. The reversal of 80132200 is 223108.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 78818884 = 1146^2 + 8878^2 .

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, 28456 + ... + 31144.

Almost surely, 280132200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93813750).

80132200 is an abundant number, since it is smaller than the sum of its proper divisors (107495300).

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

80132200 is a wasteful number, since it uses less digits than its factorization.

80132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 80132200 is about 8951.6590641065. The cubic root of 80132200 is about 431.1241542760.

Adding to 80132200 its reverse (223108), we get a palindrome (80355308).

The spelling of 80132200 in words is "eighty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2689 2980 3725 5378 5960 7450 10756 13445 14900 21512 26890 29800 53780 67225 107560 134450 268900 400661 537800 801322 1602644 2003305 3205288 4006610 8013220 10016525 16026440 20033050 40066100 80132200