Search a number
-
+
150538757 = 1741215981
BaseRepresentation
bin10001111100100…
…00101000000101
3101111021011100112
420332100220011
5302014220012
622534322405
73505362335
oct1076205005
9344234315
10150538757
1177a7aaa6
12424b9405
132525a1b5
1415dc90c5
15d339122
hex8f90a05

150538757 has 8 divisors (see below), whose sum is σ = 163282392. Its totient is φ = 138227200.

The previous prime is 150538753. The next prime is 150538763. The reversal of 150538757 is 757835051.

It can be written as a sum of positive squares in 4 ways, for example, as 18541636 + 131997121 = 4306^2 + 11489^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 150538757 - 22 = 150538753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150538753) 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 7 ways as a sum of consecutive naturals, for example, 107294 + ... + 108687.

It is an arithmetic number, because the mean of its divisors is an integer number (20410299).

Almost surely, 2150538757 is an apocalyptic number.

150538757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

150538757 is a deficient number, since it is larger than the sum of its proper divisors (12743635).

150538757 is a wasteful number, since it uses less digits than its factorization.

150538757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216039.

The product of its (nonzero) digits is 147000, while the sum is 41.

The square root of 150538757 is about 12269.4236620960. The cubic root of 150538757 is about 531.9646520034.

The spelling of 150538757 in words is "one hundred fifty million, five hundred thirty-eight thousand, seven hundred fifty-seven".

Divisors: 1 17 41 697 215981 3671677 8855221 150538757