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6561150 = 2352173183
BaseRepresentation
bin11001000001110101111110
3110100100012120
4121001311332
53134424100
6352343410
7106524501
oct31016576
913310176
106561150
113781542
122244b66
13148954b
14c2b138
158990a0
hex641d7e

6561150 has 96 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1574400.

The previous prime is 6561143. The next prime is 6561151. The reversal of 6561150 is 511656.

It is a self number, because there is not a number n which added to its sum of digits gives 6561150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561151) 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, 79009 + ... + 79091.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 26561150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6561150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

6561150 is an abundant number, since it is smaller than the sum of its proper divisors (11437698).

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

6561150 is a wasteful number, since it uses less digits than its factorization.

6561150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 6561150 is about 2561.4741849177. The cubic root of 6561150 is about 187.2089707331.

The spelling of 6561150 in words is "six million, five hundred sixty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 31 34 50 51 62 75 83 85 93 102 150 155 166 170 186 249 255 310 415 425 465 498 510 527 775 830 850 930 1054 1245 1275 1411 1550 1581 2075 2325 2490 2550 2573 2635 2822 3162 4150 4233 4650 5146 5270 6225 7055 7719 7905 8466 12450 12865 13175 14110 15438 15810 21165 25730 26350 35275 38595 39525 42330 43741 64325 70550 77190 79050 87482 105825 128650 131223 192975 211650 218705 262446 385950 437410 656115 1093525 1312230 2187050 3280575 6561150