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150331520 = 275234893
BaseRepresentation
bin10001111010111…
…10000010000000
3101110212122002002
420331132002000
5301441102040
622530043132
73503540213
oct1075360200
9343778062
10150331520
1177949329
12424194a8
13251b6a81
1415d7377a
15d2e7a15
hex8f5e080

150331520 has 32 divisors (see below), whose sum is σ = 359387820. Its totient is φ = 60132352.

The previous prime is 150331513. The next prime is 150331529. The reversal of 150331520 is 25133051.

150331520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 138109504 + 12222016 = 11752^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 150331492 and 150331501.

It is not an unprimeable number, because it can be changed into a prime (150331529) 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, 116807 + ... + 118086.

Almost surely, 2150331520 is an apocalyptic number.

150331520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150331520 is an abundant number, since it is smaller than the sum of its proper divisors (209056300).

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

150331520 is an equidigital number, since it uses as much as digits as its factorization.

150331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234912 (or 234900 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 150331520 is about 12260.9754913710. The cubic root of 150331520 is about 531.7204327571.

Adding to 150331520 its reverse (25133051), we get a palindrome (175464571).

The spelling of 150331520 in words is "one hundred fifty million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 234893 469786 939572 1174465 1879144 2348930 3758288 4697860 7516576 9395720 15033152 18791440 30066304 37582880 75165760 150331520