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150385536 = 27327171097
BaseRepresentation
bin10001111011010…
…11001110000000
3101110222101011200
420331223032000
5301444314121
622531141200
73504153540
oct1075531600
9343871150
10150385536
1177985974
1242444800
1325205532
1415d89320
15d308a26
hex8f6b380

150385536 has 192 divisors, whose sum is σ = 524141280. Its totient is φ = 40402944.

The previous prime is 150385531. The next prime is 150385541. The reversal of 150385536 is 635583051.

It is an interprime number because it is at equal distance from previous prime (150385531) and next prime (150385541).

It is a tau number, because it is divible by the number of its divisors (192).

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 150385536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150385531) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136540 + ... + 137636.

Almost surely, 2150385536 is an apocalyptic number.

150385536 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 150385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262070640).

150385536 is an abundant number, since it is smaller than the sum of its proper divisors (373755744).

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

150385536 is a wasteful number, since it uses less digits than its factorization.

150385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 150385536 is about 12263.1780546480. The cubic root of 150385536 is about 531.7841097371.

The spelling of 150385536 in words is "one hundred fifty million, three hundred eighty-five thousand, five hundred thirty-six".