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51007660 = 225111032251
BaseRepresentation
bin1100001010010…
…1000010101100
310112222110100121
43002211002230
5101024221120
65021134324
71156362244
oct302450254
9115873317
1051007660
11268798a0
12150ba3a4
13a74bc62
146abab24
1547285aa
hex30a50ac

51007660 has 48 divisors (see below), whose sum is σ = 118040832. Its totient is φ = 18360000.

The previous prime is 51007657. The next prime is 51007669. The reversal of 51007660 is 6670015.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51007669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21535 + ... + 23785.

It is an arithmetic number, because the mean of its divisors is an integer number (2459184).

Almost surely, 251007660 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 51007660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59020416).

51007660 is an abundant number, since it is smaller than the sum of its proper divisors (67033172).

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

51007660 is a wasteful number, since it uses less digits than its factorization.

51007660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 51007660 is about 7141.9647156787. The cubic root of 51007660 is about 370.8615423841.

Adding to 51007660 its reverse (6670015), we get a palindrome (57677675).

The spelling of 51007660 in words is "fifty-one million, seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2251 2266 4502 4532 5665 9004 11255 11330 22510 22660 24761 45020 49522 99044 123805 231853 247610 463706 495220 927412 1159265 2318530 2550383 4637060 5100766 10201532 12751915 25503830 51007660