Search a number
-
+
132300200 = 23521394759
BaseRepresentation
bin1111110001010…
…11110110101000
3100012221112202102
413320223312220
5232332101300
621043352532
73164350604
oct770536650
9305845672
10132300200
116875310a
1238382748
1321542756
14137dc504
15b9350d5
hex7e2bda8

132300200 has 48 divisors (see below), whose sum is σ = 309876000. Its totient is φ = 52528320.

The previous prime is 132300199. The next prime is 132300227. The reversal of 132300200 is 2003231.

It is a congruent number.

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, 25421 + ... + 30179.

It is an arithmetic number, because the mean of its divisors is an integer number (6455750).

Almost surely, 2132300200 is an apocalyptic number.

132300200 is a gapful number since it is divisible by the number (10) 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 132300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154938000).

132300200 is an abundant number, since it is smaller than the sum of its proper divisors (177575800).

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

132300200 is a wasteful number, since it uses less digits than its factorization.

132300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 132300200 is about 11502.1824016141. The cubic root of 132300200 is about 509.5500324372.

Adding to 132300200 its reverse (2003231), we get a palindrome (134303431).

The spelling of 132300200 in words is "one hundred thirty-two million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 4759 5560 6950 9518 13900 19036 23795 27800 38072 47590 95180 118975 190360 237950 475900 661501 951800 1323002 2646004 3307505 5292008 6615010 13230020 16537525 26460040 33075050 66150100 132300200