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150083280 = 24345192353
BaseRepresentation
bin10001111001000…
…01011011010000
3101110102000120000
420330201123100
5301410131110
622520450000
73501454404
oct1074413320
9343360500
10150083280
1177799876
1242319900
132512aa99
1415d0b104
15d2991c0
hex8f216d0

150083280 has 400 divisors, whose sum is σ = 583355520. Its totient is φ = 35582976.

The previous prime is 150083249. The next prime is 150083357. The reversal of 150083280 is 82380051.

It is a happy number.

150083280 is a `hidden beast` number, since 1 + 500 + 83 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2831734 + ... + 2831786.

Almost surely, 2150083280 is an apocalyptic number.

150083280 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 150083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

150083280 is an abundant number, since it is smaller than the sum of its proper divisors (433272240).

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

150083280 is a wasteful number, since it uses less digits than its factorization.

150083280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150083280 is about 12250.8481339049. The cubic root of 150083280 is about 531.4275977387.

The spelling of 150083280 in words is "one hundred fifty million, eighty-three thousand, two hundred eighty".