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150942330 = 232571123947
BaseRepresentation
bin10001111111100…
…11001001111010
3101112000122221200
420333303021322
5302120123310
622551115030
73511663050
oct1077631172
9345018850
10150942330
1178226230
1242672a76
132536bab6
14160921d0
15d3b89c0
hex8ff327a

150942330 has 192 divisors, whose sum is σ = 511100928. Its totient is φ = 29969280.

The previous prime is 150942313. The next prime is 150942331. The reversal of 150942330 is 33249051.

150942330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150942294 and 150942303.

It is not an unprimeable number, because it can be changed into a prime (150942331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158917 + ... + 159863.

It is an arithmetic number, because the mean of its divisors is an integer number (2661984).

Almost surely, 2150942330 is an apocalyptic number.

150942330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150942330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255550464).

150942330 is an abundant number, since it is smaller than the sum of its proper divisors (360158598).

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

150942330 is a wasteful number, since it uses less digits than its factorization.

150942330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 150942330 is about 12285.8589443311. The cubic root of 150942330 is about 532.4396016929.

It can be divided in two parts, 1509423 and 30, that added together give a triangular number (1509453 = T1737).

The spelling of 150942330 in words is "one hundred fifty million, nine hundred forty-two thousand, three hundred thirty".