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150205520 = 24517310853
BaseRepresentation
bin10001111001111…
…11010001010000
3101110122020020102
420330333101100
5301423034040
622523231532
73502503653
oct1074772120
9343566212
10150205520
11778726a3
12423785a8
132517160a
1415d3d89a
15d2c0515
hex8f3f450

150205520 has 40 divisors (see below), whose sum is σ = 351278856. Its totient is φ = 59729408.

The previous prime is 150205519. The next prime is 150205537. The reversal of 150205520 is 25502051.

150205520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45265984 + 104939536 = 6728^2 + 10244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 150205492 and 150205501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8414 + ... + 19266.

Almost surely, 2150205520 is an apocalyptic number.

150205520 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 150205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175639428).

150205520 is an abundant number, since it is smaller than the sum of its proper divisors (201073336).

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

150205520 is a wasteful number, since it uses less digits than its factorization.

150205520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11039 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 150205520 is about 12255.8361607848. The cubic root of 150205520 is about 531.5718378362.

Adding to 150205520 its reverse (25502051), we get a palindrome (175707571).

The spelling of 150205520 in words is "one hundred fifty million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 10853 13840 21706 43412 54265 86824 108530 173648 217060 434120 868240 1877569 3755138 7510276 9387845 15020552 18775690 30041104 37551380 75102760 150205520