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51132260 = 225171011489
BaseRepresentation
bin1100001100001…
…1011101100100
310120012210021102
43003003131210
5101042213020
65023535232
71160421434
oct303033544
9116183242
1051132260
1126954473
121515a518
13a79389a
146b102c4
154750475
hex30c3764

51132260 has 48 divisors (see below), whose sum is σ = 114896880. Its totient is φ = 19046400.

The previous prime is 51132259. The next prime is 51132271. The reversal of 51132260 is 6223115.

It can be written as a sum of positive squares in 8 ways, for example, as 2383936 + 48748324 = 1544^2 + 6982^2 .

It is a super-2 number, since 2×511322602 = 5229016025415200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33596 + ... + 35084.

It is an arithmetic number, because the mean of its divisors is an integer number (2393685).

Almost surely, 251132260 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 51132260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57448440).

51132260 is an abundant number, since it is smaller than the sum of its proper divisors (63764620).

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

51132260 is a wasteful number, since it uses less digits than its factorization.

51132260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 51132260 is about 7150.6824849101. The cubic root of 51132260 is about 371.1632733587.

Adding to 51132260 its reverse (6223115), we get a palindrome (57355375).

The spelling of 51132260 in words is "fifty-one million, one hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1489 1717 2020 2978 3434 5956 6868 7445 8585 14890 17170 25313 29780 34340 50626 101252 126565 150389 253130 300778 506260 601556 751945 1503890 2556613 3007780 5113226 10226452 12783065 25566130 51132260