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150830128 = 2431714283
BaseRepresentation
bin10001111110101…
…11110000110000
3101111210222001001
420333113300300
5302103031003
622544451344
73511014661
oct1077276060
9344728031
10150830128
11781599a9
1242619b54
132532c9c7
1416063368
15d39561d
hex8fd7c30

150830128 has 40 divisors (see below), whose sum is σ = 305980416. Its totient is φ = 71937600.

The previous prime is 150830123. The next prime is 150830149. The reversal of 150830128 is 821038051.

It is a junction number, because it is equal to n+sod(n) for n = 150830096 and 150830105.

It is not an unprimeable number, because it can be changed into a prime (150830123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33075 + ... + 37357.

Almost surely, 2150830128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

150830128 is an abundant number, since it is smaller than the sum of its proper divisors (155150288).

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

150830128 is a wasteful number, since it uses less digits than its factorization.

150830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 150830128 is about 12281.2917887330. The cubic root of 150830128 is about 532.3076404842.

Adding to 150830128 its reverse (821038051), we get a palindrome (971868179).

The spelling of 150830128 in words is "one hundred fifty million, eight hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 496 568 1136 2201 4283 4402 8566 8804 17132 17608 34264 35216 68528 132773 265546 304093 531092 608186 1062184 1216372 2124368 2432744 4865488 9426883 18853766 37707532 75415064 150830128