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150313300 = 22525379359
BaseRepresentation
bin10001111010110…
…01100101010100
3101110211201002021
420331121211110
5301440011200
622525422524
73503433124
oct1075314524
9343751067
10150313300
1177936675
124240aa44
13251ab6a7
1415d6ac84
15d2e241a
hex8f59954

150313300 has 72 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 58081920.

The previous prime is 150313283. The next prime is 150313301. The reversal of 150313300 is 3313051.

150313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150313301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418521 + ... + 418879.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2150313300 is an apocalyptic number.

150313300 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 150313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

150313300 is an abundant number, since it is smaller than the sum of its proper divisors (187165100).

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

150313300 is a wasteful number, since it uses less digits than its factorization.

150313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 150313300 is about 12260.2324610914. The cubic root of 150313300 is about 531.6989505962.

Adding to 150313300 its reverse (3313051), we get a palindrome (153626351).

The spelling of 150313300 in words is "one hundred fifty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 79 100 106 158 212 265 316 359 395 530 718 790 1060 1325 1436 1580 1795 1975 2650 3590 3950 4187 5300 7180 7900 8374 8975 16748 17950 19027 20935 28361 35900 38054 41870 56722 76108 83740 95135 104675 113444 141805 190270 209350 283610 380540 418700 475675 567220 709025 951350 1418050 1503133 1902700 2836100 3006266 6012532 7515665 15031330 30062660 37578325 75156650 150313300