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150150 = 235271113
BaseRepresentation
bin100100101010000110
321121222010
4210222012
514301100
63115050
71163520
oct445206
9247863
10150150
11a28a0
1272a86
1353460
143ca10
152e750
hex24a86

150150 has 96 divisors (see below), whose sum is σ = 499968. Its totient is φ = 28800.

The previous prime is 150131. The next prime is 150151. The reversal of 150150 is 51051.

150150 divided by its product of nonzero digits (25) gives a palindrome (6006).

Subtracting from 150150 its reverse (51051), we obtain a palindrome (99099).

It can be divided in two parts, 1501 and 50, that added together give a palindrome (1551).

150150 is nontrivially palindromic in base 4.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150151) by changing a digit.

150150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11544 + ... + 11556.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2150150 is an apocalyptic number.

150150 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 150150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

150150 is an abundant number, since it is smaller than the sum of its proper divisors (349818).

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

150150 is a wasteful number, since it uses less digits than its factorization.

150150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 150150 is about 387.4919354000. The cubic root of 150150 is about 53.1506335349.

The spelling of 150150 in words is "one hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 25 26 30 33 35 39 42 50 55 65 66 70 75 77 78 91 105 110 130 143 150 154 165 175 182 195 210 231 273 275 286 325 330 350 385 390 429 455 462 525 546 550 650 715 770 825 858 910 975 1001 1050 1155 1365 1430 1650 1925 1950 2002 2145 2275 2310 2730 3003 3575 3850 4290 4550 5005 5775 6006 6825 7150 10010 10725 11550 13650 15015 21450 25025 30030 50050 75075 150150