[go: up one dir, main page]

Search a number
-
+
150581376 = 27331117233
BaseRepresentation
bin10001111100110…
…11000010000000
3101111100022211000
420332123002000
5302022101001
622535252000
73505630521
oct1076330200
9344308730
10150581376
1177aaa020
124251a000
132527370a
1415dda848
15d346a86
hex8f9b080

150581376 has 256 divisors, whose sum is σ = 515548800. Its totient is φ = 42762240.

The previous prime is 150581371. The next prime is 150581377. The reversal of 150581376 is 673185051.

150581376 is a `hidden beast` number, since 1 + 5 + 0 + 581 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150581376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150581371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646156 + ... + 646388.

Almost surely, 2150581376 is an apocalyptic number.

150581376 is a gapful number since it is divisible by the number (16) 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 150581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257774400).

150581376 is an abundant number, since it is smaller than the sum of its proper divisors (364967424).

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

150581376 is a wasteful number, since it uses less digits than its factorization.

150581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 150581376 is about 12271.1603363333. The cubic root of 150581376 is about 532.0148487385.

The spelling of 150581376 in words is "one hundred fifty million, five hundred eighty-one thousand, three hundred seventy-six".