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131650000 = 24552633
BaseRepresentation
bin1111101100011…
…01000111010000
3100011201111211221
413312031013100
5232200300000
621021414424
73156002146
oct766150720
9304644757
10131650000
1168349659
123810a414
1321375811
14136ad596
15b85761a
hex7d8d1d0

131650000 has 60 divisors (see below), whose sum is σ = 318940524. Its totient is φ = 52640000.

The previous prime is 131649983. The next prime is 131650003. The reversal of 131650000 is 56131.

It can be written as a sum of positive squares in 6 ways, for example, as 123832384 + 7817616 = 11128^2 + 2796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131650003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48684 + ... + 51316.

Almost surely, 2131650000 is an apocalyptic number.

131650000 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 131650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159470262).

131650000 is an abundant number, since it is smaller than the sum of its proper divisors (187290524).

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

131650000 is an frugal number, since it uses more digits than its factorization.

131650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 131650000 is about 11473.8833879380. The cubic root of 131650000 is about 508.7139196503.

The spelling of 131650000 in words is "one hundred thirty-one million, six hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2633 3125 5000 5266 6250 10000 10532 12500 13165 21064 25000 26330 42128 50000 52660 65825 105320 131650 210640 263300 329125 526600 658250 1053200 1316500 1645625 2633000 3291250 5266000 6582500 8228125 13165000 16456250 26330000 32912500 65825000 131650000