Search a number
-
+
132500000 = 255753
BaseRepresentation
bin1111110010111…
…00101000100000
3100020022200211102
413321130220200
5232410000000
621051533532
73166142243
oct771345040
9306280742
10132500000
116887a236
123845a2a8
13215b2689
141385125a
15b9743d5
hex7e5ca20

132500000 has 96 divisors (see below), whose sum is σ = 332225712. Its totient is φ = 52000000.

The previous prime is 132499973. The next prime is 132500021. The reversal of 132500000 is 5231.

It can be written as a sum of positive squares in 8 ways, for example, as 112105744 + 20394256 = 10588^2 + 4516^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499974 + ... + 2500026.

Almost surely, 2132500000 is an apocalyptic number.

132500000 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 132500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166112856).

132500000 is an abundant number, since it is smaller than the sum of its proper divisors (199725712).

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

132500000 is an frugal number, since it uses more digits than its factorization.

132500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 132500000 is about 11510.8644332213. The cubic root of 132500000 is about 509.8064112111.

Adding to 132500000 its reverse (5231), we get a palindrome (132505231).

The spelling of 132500000 in words is "one hundred thirty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 625 800 848 1000 1060 1250 1325 1696 2000 2120 2500 2650 3125 4000 4240 5000 5300 6250 6625 8480 10000 10600 12500 13250 15625 20000 21200 25000 26500 31250 33125 42400 50000 53000 62500 66250 78125 100000 106000 125000 132500 156250 165625 212000 250000 265000 312500 331250 500000 530000 625000 662500 828125 1060000 1250000 1325000 1656250 2500000 2650000 3312500 4140625 5300000 6625000 8281250 13250000 16562500 26500000 33125000 66250000 132500000