Search a number
-
+
150001180 = 22572394483
BaseRepresentation
bin10001111000011…
…01011000011100
3101110020211221021
420330031120130
5301400014210
622515013524
73500663140
oct1074153034
9343224837
10150001180
117774311a
124229a2a4
13250cc5c4
1415cc9220
15d27ebda
hex8f0d61c

150001180 has 48 divisors (see below), whose sum is σ = 361589760. Its totient is φ = 51202368.

The previous prime is 150001151. The next prime is 150001199. The reversal of 150001180 is 81100051.

It is a congruent number.

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, 31219 + ... + 35701.

It is an arithmetic number, because the mean of its divisors is an integer number (7533120).

Almost surely, 2150001180 is an apocalyptic number.

150001180 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 150001180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180794880).

150001180 is an abundant number, since it is smaller than the sum of its proper divisors (211588580).

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

150001180 is a wasteful number, since it uses less digits than its factorization.

150001180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 150001180 is about 12247.4968871194. The cubic root of 150001180 is about 531.3306778511.

The spelling of 150001180 in words is "one hundred fifty million, one thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 478 956 1195 1673 2390 3346 4483 4780 6692 8365 8966 16730 17932 22415 31381 33460 44830 62762 89660 125524 156905 313810 627620 1071437 2142874 4285748 5357185 7500059 10714370 15000118 21428740 30000236 37500295 75000590 150001180