Search a number
-
+
80145000 = 23325413137
BaseRepresentation
bin1001100011011…
…10101001101000
312120210210021100
410301232221220
5131004120000
611541441400
71662135615
oct461565150
9176723240
1080145000
1141270141
1222a10260
13137b13a0
14a90350c
157081a00
hex4c6ea68

80145000 has 240 divisors, whose sum is σ = 294233940. Its totient is φ = 19584000.

The previous prime is 80144993. The next prime is 80145017. The reversal of 80145000 is 54108.

It can be written as a sum of positive squares in 10 ways, for example, as 14243076 + 65901924 = 3774^2 + 8118^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 584932 + ... + 585068.

Almost surely, 280145000 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 80145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147116970).

80145000 is an abundant number, since it is smaller than the sum of its proper divisors (214088940).

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

80145000 is a wasteful number, since it uses less digits than its factorization.

80145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 80145000 is about 8952.3739868261. The cubic root of 80145000 is about 431.1471084084.

Adding to 80145000 its reverse (54108), we get a palindrome (80199108).

The spelling of 80145000 in words is "eighty million, one hundred forty-five thousand".