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53127000 = 2332535903
BaseRepresentation
bin1100101010101…
…0011101011000
310200222010112200
43022222131120
5102100031000
65134410200
71213400133
oct312523530
9120863480
1053127000
1127a97113
1215960960
13b0117c4
1470ad21a
1549e6500
hex32aa758

53127000 has 96 divisors (see below), whose sum is σ = 179599680. Its totient is φ = 14164800.

The previous prime is 53126977. The next prime is 53127001. The reversal of 53127000 is 72135.

53127000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (53127001) 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 23 ways as a sum of consecutive naturals, for example, 6049 + ... + 11951.

It is an arithmetic number, because the mean of its divisors is an integer number (1870830).

Almost surely, 253127000 is an apocalyptic number.

53127000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89799840).

53127000 is an abundant number, since it is smaller than the sum of its proper divisors (126472680).

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

53127000 is a wasteful number, since it uses less digits than its factorization.

53127000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 53127000 is about 7288.8270661335. The cubic root of 53127000 is about 375.9283664653.

Adding to 53127000 its reverse (72135), we get a palindrome (53199135).

The spelling of 53127000 in words is "fifty-three million, one hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 5903 9000 11806 17709 23612 29515 35418 47224 53127 59030 70836 88545 106254 118060 141672 147575 177090 212508 236120 265635 295150 354180 425016 442725 531270 590300 708360 737875 885450 1062540 1180600 1328175 1475750 1770900 2125080 2213625 2656350 2951500 3541800 4427250 5312700 5903000 6640875 8854500 10625400 13281750 17709000 26563500 53127000