Search a number
-
+
150585060 = 22357931769
BaseRepresentation
bin10001111100110…
…11111011100100
3101111100111212110
420332123323210
5302022210220
622535321020
73505644333
oct1076337344
9344314773
10150585060
117800186a
1242520170
13252752b2
1415ddbd1a
15d347be0
hex8f9bee4

150585060 has 48 divisors (see below), whose sum is σ = 426988800. Its totient is φ = 39646464.

The previous prime is 150585053. The next prime is 150585067. The reversal of 150585060 is 60585051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150585053) and next prime (150585067).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (150585067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11145 + ... + 20624.

It is an arithmetic number, because the mean of its divisors is an integer number (8895600).

Almost surely, 2150585060 is an apocalyptic number.

150585060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150585060 is an abundant number, since it is smaller than the sum of its proper divisors (276403740).

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

150585060 is a wasteful number, since it uses less digits than its factorization.

150585060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31860 (or 31858 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 150585060 is about 12271.3104434694. The cubic root of 150585060 is about 532.0191873156.

Subtracting from 150585060 its reverse (60585051), we obtain a palindrome (90000009).

The spelling of 150585060 in words is "one hundred fifty million, five hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 31769 63538 95307 127076 158845 190614 317690 381228 476535 635380 953070 1906140 2509751 5019502 7529253 10039004 12548755 15058506 25097510 30117012 37646265 50195020 75292530 150585060