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150330432 = 2637219292
BaseRepresentation
bin10001111010111…
…01110001000000
3101110212120120210
420331131301000
5301441033212
622530034120
73503534100
oct1075356100
9343776523
10150330432
117794852a
1242418940
13251b6425
1415d73200
15d2e753c
hex8f5dc40

150330432 has 252 divisors, whose sum is σ = 504413520. Its totient is φ = 39287808.

The previous prime is 150330409. The next prime is 150330493. The reversal of 150330432 is 234033051.

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

It is a junction number, because it is equal to n+sod(n) for n = 150330399 and 150330408.

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 35 ways as a sum of consecutive naturals, for example, 5183794 + ... + 5183822.

Almost surely, 2150330432 is an apocalyptic number.

150330432 is a gapful number since it is divisible by the number (12) 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 150330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252206760).

150330432 is an abundant number, since it is smaller than the sum of its proper divisors (354083088).

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

150330432 is a wasteful number, since it uses less digits than its factorization.

150330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 150330432 is about 12260.9311228797. The cubic root of 150330432 is about 531.7191500072.

Adding to 150330432 its reverse (234033051), we get a palindrome (384363483).

The spelling of 150330432 in words is "one hundred fifty million, three hundred thirty thousand, four hundred thirty-two".