Search a number
-
+
150808660 = 22541353521
BaseRepresentation
bin10001111110100…
…10100001010100
3101111202212120221
420333102201110
5302101334120
622544204124
73510565252
oct1077224124
9344685527
10150808660
1178144862
1242609644
1325322cc2
14160595d2
15d38e0aa
hex8fd2854

150808660 has 48 divisors (see below), whose sum is σ = 325966032. Its totient is φ = 58572800.

The previous prime is 150808621. The next prime is 150808667. The reversal of 150808660 is 66808051.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35976004 + 114832656 = 5998^2 + 10716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150808667) by changing a digit.

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, 289200 + ... + 289720.

It is an arithmetic number, because the mean of its divisors is an integer number (6790959).

Almost surely, 2150808660 is an apocalyptic number.

150808660 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 150808660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162983016).

150808660 is an abundant number, since it is smaller than the sum of its proper divisors (175157372).

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

150808660 is a wasteful number, since it uses less digits than its factorization.

150808660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 150808660 is about 12280.4177453375. The cubic root of 150808660 is about 532.2823844278.

The spelling of 150808660 in words is "one hundred fifty million, eight hundred eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 353 410 521 706 820 1042 1412 1765 2084 2605 3530 5210 7060 10420 14473 21361 28946 42722 57892 72365 85444 106805 144730 183913 213610 289460 367826 427220 735652 919565 1839130 3678260 7540433 15080866 30161732 37702165 75404330 150808660