Base | Representation |
---|---|
bin | 10001111110010… |
… | …11110011000000 |
3 | 101111201110210221 |
4 | 20333023303000 |
5 | 302044443440 |
6 | 22543432424 |
7 | 3510422050 |
oct | 1077136300 |
9 | 344643727 |
10 | 150781120 |
11 | 781260a6 |
12 | 425b5714 |
13 | 253135c9 |
14 | 1604d560 |
15 | d385d4a |
hex | 8fcbcc0 |
150781120 has 112 divisors (see below), whose sum is σ = 415795968. Its totient is φ = 51010560.
The previous prime is 150781087. The next prime is 150781133. The reversal of 150781120 is 21187051.
150781120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×1507811202 = 45469892296908800, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185515 + ... + 186325.
It is an arithmetic number, because the mean of its divisors is an integer number (3712464).
Almost surely, 2150781120 is an apocalyptic number.
150781120 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 150781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207897984).
150781120 is an abundant number, since it is smaller than the sum of its proper divisors (265014848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150781120 is an equidigital number, since it uses as much as digits as its factorization.
150781120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 918 (or 908 counting only the distinct ones).
The product of its (nonzero) digits is 560, while the sum is 25.
The square root of 150781120 is about 12279.2963967810. The cubic root of 150781120 is about 532.2499814494.
The spelling of 150781120 in words is "one hundred fifty million, seven hundred eighty-one thousand, one hundred twenty".
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