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150232320 = 28365723
BaseRepresentation
bin10001111010001…
…01110100000000
3101110200121000000
420331011310000
5301424413240
622524000000
73502645050
oct1075056400
9343617000
10150232320
1177890847
1242390000
1325180884
1415d49560
15d2c8430
hex8f45d00

150232320 has 504 divisors, whose sum is σ = 643418496. Its totient is φ = 32845824.

The previous prime is 150232319. The next prime is 150232331. The reversal of 150232320 is 23232051.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150232293 and 150232302.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 6531829 + ... + 6531851.

It is an arithmetic number, because the mean of its divisors is an integer number (1276624).

Almost surely, 2150232320 is an apocalyptic number.

150232320 is a gapful number since it is divisible by the number (10) 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 150232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321709248).

150232320 is an abundant number, since it is smaller than the sum of its proper divisors (493186176).

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

150232320 is an frugal number, since it uses more digits than its factorization.

150232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 150232320 is about 12256.9294686720. The cubic root of 150232320 is about 531.6034506958.

Adding to 150232320 its reverse (23232051), we get a palindrome (173464371).

The spelling of 150232320 in words is "one hundred fifty million, two hundred thirty-two thousand, three hundred twenty".