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51103120 = 2451135653
BaseRepresentation
bin1100001011110…
…0010110010000
310120011022022011
43002330112100
5101040244440
65023152304
71160240455
oct302742620
9116138264
1051103120
1126934592
1215145694
13a783543
146b0382c
1547469ea
hex30bc590

51103120 has 40 divisors (see below), whose sum is σ = 119887416. Its totient is φ = 20256768.

The previous prime is 51103109. The next prime is 51103121. The reversal of 51103120 is 2130115.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 50013184 = 1044^2 + 7072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×511031202 = 5223057747468800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51103120.

It is not an unprimeable number, because it can be changed into a prime (51103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6214 + ... + 11866.

Almost surely, 251103120 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 51103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59943708).

51103120 is an abundant number, since it is smaller than the sum of its proper divisors (68784296).

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

51103120 is a wasteful number, since it uses less digits than its factorization.

51103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5773 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 51103120 is about 7148.6446267807. The cubic root of 51103120 is about 371.0927519759.

Adding to 51103120 its reverse (2130115), we get a palindrome (53233235).

The spelling of 51103120 in words is "fifty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 5653 9040 11306 22612 28265 45224 56530 90448 113060 226120 452240 638789 1277578 2555156 3193945 5110312 6387890 10220624 12775780 25551560 51103120