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5133150 = 23252111761
BaseRepresentation
bin10011100101001101011110
3100122210100200
4103211031132
52303230100
6302004330
761426311
oct23451536
910583320
105133150
112996680
1218766a6
1310a9589
14978978
156b5e00
hex4e535e

5133150 has 144 divisors (see below), whose sum is σ = 16190928. Its totient is φ = 1152000.

The previous prime is 5133127. The next prime is 5133157. The reversal of 5133150 is 513315.

It is a happy number.

5133150 is a `hidden beast` number, since 513 + 3 + 150 = 666.

It is a super-3 number, since 3×51331503 (a number of 21 digits) contains 333 as substring.

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 (5133157) 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 71 ways as a sum of consecutive naturals, for example, 84120 + ... + 84180.

It is an arithmetic number, because the mean of its divisors is an integer number (112437).

Almost surely, 25133150 is an apocalyptic number.

5133150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5133150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095464).

5133150 is an abundant number, since it is smaller than the sum of its proper divisors (11057778).

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

5133150 is a wasteful number, since it uses less digits than its factorization.

5133150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 5133150 is about 2265.6456033546. The cubic root of 5133150 is about 172.5022053908.

Adding to 5133150 its reverse (513315), we get a palindrome (5646465).

It can be divided in two parts, 513 and 3150, that added together give a palindrome (3663).

The spelling of 5133150 in words is "five million, one hundred thirty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 25 30 33 34 45 50 51 55 61 66 75 85 90 99 102 110 122 150 153 165 170 183 187 198 225 255 275 305 306 330 366 374 425 450 495 510 549 550 561 610 671 765 825 850 915 935 990 1037 1098 1122 1275 1342 1525 1530 1650 1683 1830 1870 2013 2074 2475 2550 2745 2805 3050 3111 3355 3366 3825 4026 4575 4675 4950 5185 5490 5610 6039 6222 6710 7650 8415 9150 9333 9350 10065 10370 11407 12078 13725 14025 15555 16775 16830 18666 20130 22814 25925 27450 28050 30195 31110 33550 34221 42075 46665 50325 51850 57035 60390 68442 77775 84150 93330 100650 102663 114070 150975 155550 171105 205326 233325 285175 301950 342210 466650 513315 570350 855525 1026630 1711050 2566575 5133150