Search a number
-
+
150045420 = 223572997127
BaseRepresentation
bin10001111000110…
…00001011101100
3101110100002121210
420330120023230
5301402423140
622515554420
73501236130
oct1074301354
9343302553
10150045420
1177773388
12422bba10
1325116795
1415cdb3c0
15d28cd80
hex8f182ec

150045420 has 192 divisors, whose sum is σ = 505774080. Its totient is φ = 32514048.

The previous prime is 150045419. The next prime is 150045431. The reversal of 150045420 is 24540051.

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

It is a zygodrome in base 11.

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 63 ways as a sum of consecutive naturals, for example, 1181397 + ... + 1181523.

It is an arithmetic number, because the mean of its divisors is an integer number (2634240).

Almost surely, 2150045420 is an apocalyptic number.

150045420 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 150045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252887040).

150045420 is an abundant number, since it is smaller than the sum of its proper divisors (355728660).

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

150045420 is a wasteful number, since it uses less digits than its factorization.

150045420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 150045420 is about 12249.3028373047. The cubic root of 150045420 is about 531.3829080151.

Adding to 150045420 its reverse (24540051), we get a palindrome (174585471).

The spelling of 150045420 in words is "one hundred fifty million, forty-five thousand, four hundred twenty".