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150506568 = 233218111549
BaseRepresentation
bin10001111100010…
…00110001001000
3101111012112012100
420332020301020
5302012202233
622533513400
73505166442
oct1076106110
9344175170
10150506568
1177a588a3
12424a2860
1325248654
1415dbb492
15d32e813
hex8f88c48

150506568 has 48 divisors (see below), whose sum is σ = 409909500. Its totient is φ = 49887360.

The previous prime is 150506561. The next prime is 150506597. The reversal of 150506568 is 865605051.

It can be written as a sum of positive squares in 2 ways, for example, as 150258564 + 248004 = 12258^2 + 498^2 .

It is a super-2 number, since 2×1505065682 = 45304454022277248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150506561) 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 11 ways as a sum of consecutive naturals, for example, 7258 + ... + 18806.

Almost surely, 2150506568 is an apocalyptic number.

150506568 is a gapful number since it is divisible by the number (18) 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 150506568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204954750).

150506568 is an abundant number, since it is smaller than the sum of its proper divisors (259402932).

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

150506568 is a wasteful number, since it uses less digits than its factorization.

150506568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11742 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 150506568 is about 12268.1118351603. Note that the first 3 decimals coincide. The cubic root of 150506568 is about 531.9267334609.

The spelling of 150506568 in words is "one hundred fifty million, five hundred six thousand, five hundred sixty-eight".