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8142150 = 23521731103
BaseRepresentation
bin11111000011110101000110
3120022122221010
4133003311012
54041022100
6450303050
7126131022
oct37036506
916278833
108142150
114661355
122887a86
1318c1053
14111d382
15aac750
hex7c3d46

8142150 has 96 divisors (see below), whose sum is σ = 22284288. Its totient is φ = 1958400.

The previous prime is 8142137. The next prime is 8142151. The reversal of 8142150 is 512418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78999 + ... + 79101.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 28142150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142144).

8142150 is an abundant number, since it is smaller than the sum of its proper divisors (14142138).

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

8142150 is a wasteful number, since it uses less digits than its factorization.

8142150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8142150 is about 2853.4452859657. The cubic root of 8142150 is about 201.1776355956.

Adding to 8142150 its reverse (512418), we get a palindrome (8654568).

The spelling of 8142150 in words is "eight million, one hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 31 34 50 51 62 75 85 93 102 103 150 155 170 186 206 255 309 310 425 465 510 515 527 618 775 850 930 1030 1054 1275 1545 1550 1581 1751 2325 2550 2575 2635 3090 3162 3193 3502 4650 5150 5253 5270 6386 7725 7905 8755 9579 10506 13175 15450 15810 15965 17510 19158 26265 26350 31930 39525 43775 47895 52530 54281 79050 79825 87550 95790 108562 131325 159650 162843 239475 262650 271405 325686 478950 542810 814215 1357025 1628430 2714050 4071075 8142150