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150936660 = 2232572109157
BaseRepresentation
bin10001111111100…
…01110001010100
3101112000101011200
420333301301110
5302114433120
622551032500
73511640400
oct1077616124
9345011150
10150936660
1178221a46
124266b730
1325369344
1416090100
15d3b6e90
hex8ff1c54

150936660 has 216 divisors, whose sum is σ = 540900360. Its totient is φ = 33965568.

The previous prime is 150936641. The next prime is 150936673. The reversal of 150936660 is 66639051.

It can be written as a sum of positive squares in 4 ways, for example, as 14607684 + 136328976 = 3822^2 + 11676^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 961302 + ... + 961458.

Almost surely, 2150936660 is an apocalyptic number.

150936660 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 150936660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270450180).

150936660 is an abundant number, since it is smaller than the sum of its proper divisors (389963700).

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

150936660 is a wasteful number, since it uses less digits than its factorization.

150936660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 150936660 is about 12285.6281890671. The cubic root of 150936660 is about 532.4329347530.

The spelling of 150936660 in words is "one hundred fifty million, nine hundred thirty-six thousand, six hundred sixty".