Search a number
-
+
300252150 = 233521120219
BaseRepresentation
bin10001111001010…
…111101111110110
3202220222101112000
4101321113233312
51103331032100
645443240130
710304046462
oct2171275766
9686871460
10300252150
11144536980
1284679046
134a2887c3
142bc3b4a2
151b55d900
hex11e57bf6

300252150 has 96 divisors (see below), whose sum is σ = 902620800. Its totient is φ = 72784800.

The previous prime is 300252149. The next prime is 300252157. The reversal of 300252150 is 51252003.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300252157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741 + ... + 24959.

It is an arithmetic number, because the mean of its divisors is an integer number (9402300).

Almost surely, 2300252150 is an apocalyptic number.

300252150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300252150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451310400).

300252150 is an abundant number, since it is smaller than the sum of its proper divisors (602368650).

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

300252150 is a wasteful number, since it uses less digits than its factorization.

300252150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20251 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 300252150 is about 17327.7854903620. The cubic root of 300252150 is about 669.6204503588.

The spelling of 300252150 in words is "three hundred million, two hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 14850 20219 40438 60657 101095 121314 181971 202190 222409 303285 363942 444818 505475 545913 606570 667227 909855 1010950 1091826 1112045 1334454 1516425 1819710 2001681 2224090 2729565 3032850 3336135 4003362 4549275 5459130 5560225 6005043 6672270 9098550 10008405 11120450 12010086 13647825 16680675 20016810 27295650 30025215 33361350 50042025 60050430 100084050 150126075 300252150