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150153536 = 2613180473
BaseRepresentation
bin10001111001100…
…10100101000000
3101110112120221002
420330302211000
5301414403121
622522151132
73502166261
oct1074624500
9343476832
10150153536
1177837635
12423524a8
1325153a60
1415d28968
15d2aee0b
hex8f32940

150153536 has 28 divisors (see below), whose sum is σ = 320882772. Its totient is φ = 69301248.

The previous prime is 150153533. The next prime is 150153539. The reversal of 150153536 is 635351051.

It is an interprime number because it is at equal distance from previous prime (150153533) and next prime (150153539).

It can be written as a sum of positive squares in 2 ways, for example, as 42823936 + 107329600 = 6544^2 + 10360^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 150153499 and 150153508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150153533) 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 3 ways as a sum of consecutive naturals, for example, 89405 + ... + 91068.

It is an arithmetic number, because the mean of its divisors is an integer number (11460099).

Almost surely, 2150153536 is an apocalyptic number.

150153536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150153536 is an abundant number, since it is smaller than the sum of its proper divisors (170729236).

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

150153536 is a wasteful number, since it uses less digits than its factorization.

150153536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180498 (or 180488 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 150153536 is about 12253.7151917286. The cubic root of 150153536 is about 531.5105076027.

The spelling of 150153536 in words is "one hundred fifty million, one hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 180473 360946 721892 1443784 2346149 2887568 4692298 5775136 9384596 11550272 18769192 37538384 75076768 150153536