Search a number
-
+
150324132 = 223717105269
BaseRepresentation
bin10001111010111…
…00001110100100
3101110212020221110
420331130032210
5301440333012
622525545020
73503506530
oct1075341644
9343766843
10150324132
1177943822
1242415170
13251b35ba
1415d70bc0
15d2e573c
hex8f5c3a4

150324132 has 48 divisors (see below), whose sum is σ = 424448640. Its totient is φ = 40422912.

The previous prime is 150324131. The next prime is 150324133. The reversal of 150324132 is 231423051.

150324132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150324131) and next prime (150324133).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 150324099 and 150324108.

It is not an unprimeable number, because it can be changed into a prime (150324131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51207 + ... + 54062.

It is an arithmetic number, because the mean of its divisors is an integer number (8842680).

Almost surely, 2150324132 is an apocalyptic number.

150324132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150324132 is an abundant number, since it is smaller than the sum of its proper divisors (274124508).

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

150324132 is a wasteful number, since it uses less digits than its factorization.

150324132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105300 (or 105298 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 150324132 is about 12260.6742065842. The cubic root of 150324132 is about 531.7117221977.

Adding to 150324132 its reverse (231423051), we get a palindrome (381747183).

The spelling of 150324132 in words is "one hundred fifty million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 105269 210538 315807 421076 631614 736883 1263228 1473766 1789573 2210649 2947532 3579146 4421298 5368719 7158292 8842596 10737438 12527011 21474876 25054022 37581033 50108044 75162066 150324132