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150314130 = 2345199767
BaseRepresentation
bin10001111010110…
…01110010010010
3101110211202020000
420331121302102
5301440023010
622525430430
73503435421
oct1075316222
9343752200
10150314130
117793725a
124240b416
13251abb95
1415d6b2b8
15d2e27c0
hex8f59c92

150314130 has 80 divisors (see below), whose sum is σ = 425494080. Its totient is φ = 37970208.

The previous prime is 150314117. The next prime is 150314141. The reversal of 150314130 is 31413051.

150314130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10507 + ... + 20273.

It is an arithmetic number, because the mean of its divisors is an integer number (5318676).

Almost surely, 2150314130 is an apocalyptic number.

150314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212747040).

150314130 is an abundant number, since it is smaller than the sum of its proper divisors (275179950).

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

150314130 is a wasteful number, since it uses less digits than its factorization.

150314130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150314130 is about 12260.2663103213. The cubic root of 150314130 is about 531.6999292395.

Adding to 150314130 its reverse (31413051), we get a palindrome (181727181).

The spelling of 150314130 in words is "one hundred fifty million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 9767 15390 19534 29301 48835 58602 87903 97670 146505 175806 185573 263709 293010 371146 439515 527418 556719 791127 879030 927865 1113438 1318545 1582254 1670157 1855730 2637090 2783595 3340314 3955635 5010471 5567190 7911270 8350785 10020942 15031413 16701570 25052355 30062826 50104710 75157065 150314130