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51205020 = 22351722953
BaseRepresentation
bin1100001101010…
…1001110011100
310120100111002020
43003111032130
5101102030040
65025300140
71161143526
oct303251634
9116314066
1051205020
11269a40a9
1215194650
13a7baa39
146b2ca16
154766cd0
hex30d539c

51205020 has 72 divisors (see below), whose sum is σ = 152355504. Its totient is φ = 12847104.

The previous prime is 51205001. The next prime is 51205027. The reversal of 51205020 is 2050215.

51205020 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51205027) 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, 15864 + ... + 18816.

Almost surely, 251205020 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 51205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76177752).

51205020 is an abundant number, since it is smaller than the sum of its proper divisors (101150484).

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

51205020 is a wasteful number, since it uses less digits than its factorization.

51205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 51205020 is about 7155.7683025654. The cubic root of 51205020 is about 371.3392421132.

Adding to 51205020 its reverse (2050215), we get a palindrome (53255235).

The spelling of 51205020 in words is "fifty-one million, two hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 2953 3468 4335 5780 5906 8670 8859 11812 14765 17340 17718 29530 35436 44295 50201 59060 88590 100402 150603 177180 200804 251005 301206 502010 602412 753015 853417 1004020 1506030 1706834 2560251 3012060 3413668 4267085 5120502 8534170 10241004 12801255 17068340 25602510 51205020