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61812030 = 235736007
BaseRepresentation
bin1110101111001…
…0110100111110
311022022101011110
43223302310332
5111310441110
610044502450
71350252000
oct353626476
9138271143
1061812030
1131989325
121884aa26
13ca62987
1482d0370
15565ea20
hex3af2d3e

61812030 has 64 divisors (see below), whose sum is σ = 173030400. Its totient is φ = 14126112.

The previous prime is 61812029. The next prime is 61812031. The reversal of 61812030 is 3021816.

It is an interprime number because it is at equal distance from previous prime (61812029) and next prime (61812031).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 61811988 and 61812006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61812031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7287 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (2703600).

Almost surely, 261812030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61812030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86515200).

61812030 is an abundant number, since it is smaller than the sum of its proper divisors (111218370).

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

61812030 is a wasteful number, since it uses less digits than its factorization.

61812030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61812030 is about 7862.0627064403. The cubic root of 61812030 is about 395.3887749469.

Adding to 61812030 its reverse (3021816), we get a palindrome (64833846).

The spelling of 61812030 in words is "sixty-one million, eight hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 6007 10290 12014 18021 30035 36042 42049 60070 84098 90105 126147 180210 210245 252294 294343 420490 588686 630735 883029 1261470 1471715 1766058 2060401 2943430 4120802 4415145 6181203 8830290 10302005 12362406 20604010 30906015 61812030