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51041120 = 2551353463
BaseRepresentation
bin1100001010110…
…1001101100000
310120001011020212
43002231031200
5101031303440
65021553252
71156561634
oct302551540
9116034225
1051041120
11268a1a49
1215115828
13a761260
146ac8dc4
154733465
hex30ad360

51041120 has 96 divisors (see below), whose sum is σ = 132596352. Its totient is φ = 18450432.

The previous prime is 51041113. The next prime is 51041141. The reversal of 51041120 is 2114015.

It is a junction number, because it is equal to n+sod(n) for n = 51041095 and 51041104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 110009 + ... + 110471.

It is an arithmetic number, because the mean of its divisors is an integer number (1381212).

Almost surely, 251041120 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 51041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66298176).

51041120 is an abundant number, since it is smaller than the sum of its proper divisors (81555232).

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

51041120 is a wasteful number, since it uses less digits than its factorization.

51041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 51041120 is about 7144.3068243182. The cubic root of 51041120 is about 370.9426172321.

Adding to 51041120 its reverse (2114015), we get a palindrome (53155135).

The spelling of 51041120 in words is "fifty-one million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 212 260 265 416 424 463 520 530 689 848 926 1040 1060 1378 1696 1852 2080 2120 2315 2756 3445 3704 4240 4630 5512 6019 6890 7408 8480 9260 11024 12038 13780 14816 18520 22048 24076 24539 27560 30095 37040 48152 49078 55120 60190 74080 96304 98156 110240 120380 122695 192608 196312 240760 245390 319007 392624 481520 490780 638014 785248 963040 981560 1276028 1595035 1963120 2552056 3190070 3926240 5104112 6380140 10208224 12760280 25520560 51041120