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51301020 = 2235792137
BaseRepresentation
bin1100001110110…
…0101010011100
310120112100202210
43003230222130
5101113113040
65031320420
71162023441
oct303545234
9116470683
1051301020
1126a5a241
1215220110
13a822644
146b559c8
154785480
hex30eca9c

51301020 has 72 divisors (see below), whose sum is σ = 146546064. Its totient is φ = 13408512.

The previous prime is 51301009. The next prime is 51301027. The reversal of 51301020 is 2010315.

51301020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 51300987 and 51301005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51301027) 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, 374392 + ... + 374528.

It is an arithmetic number, because the mean of its divisors is an integer number (2035362).

Almost surely, 251301020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73273032).

51301020 is an abundant number, since it is smaller than the sum of its proper divisors (95245044).

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

51301020 is a wasteful number, since it uses less digits than its factorization.

51301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 51301020 is about 7162.4730365985. The cubic root of 51301020 is about 371.5711615113.

Adding to 51301020 its reverse (2010315), we get a palindrome (53311335).

The spelling of 51301020 in words is "fifty-one million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 137 158 237 274 316 395 411 474 548 685 790 822 948 1185 1370 1580 1644 2055 2370 2740 4110 4740 6241 8220 10823 12482 18723 21646 24964 31205 32469 37446 43292 54115 62410 64938 74892 93615 108230 124820 129876 162345 187230 216460 324690 374460 649380 855017 1710034 2565051 3420068 4275085 5130102 8550170 10260204 12825255 17100340 25650510 51301020