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150066560 = 2757194143
BaseRepresentation
bin10001111000111…
…01010110000000
3101110101011121202
420330131112000
5301404112220
622520240332
73501354560
oct1074352600
9343334552
10150066560
1177788256
12423100a8
13251232a7
1415d04da0
15d294275
hex8f1d580

150066560 has 256 divisors, whose sum is σ = 452390400. Its totient is φ = 46448640.

The previous prime is 150066547. The next prime is 150066563. The reversal of 150066560 is 65660051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150066563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3489899 + ... + 3489941.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2150066560 is an apocalyptic number.

150066560 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 150066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

150066560 is an abundant number, since it is smaller than the sum of its proper divisors (302323840).

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

150066560 is a wasteful number, since it uses less digits than its factorization.

150066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 150066560 is about 12250.1657131649. The cubic root of 150066560 is about 531.4078624748.

The spelling of 150066560 in words is "one hundred fifty million, sixty-six thousand, five hundred sixty".