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51134130 = 232517191759
BaseRepresentation
bin1100001100001…
…1111010110010
310120012212211200
43003003322302
5101042243010
65023552030
71160430045
oct303037262
9116185750
1051134130
1126955913
121515b616
13a7946a8
146b10c5c
154750cc0
hex30c3eb2

51134130 has 96 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 12151296.

The previous prime is 51134119. The next prime is 51134141. The reversal of 51134130 is 3143115.

51134130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51134119) and next prime (51134141).

It is a super-2 number, since 2×511341302 = 5229398501713800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28191 + ... + 29949.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 251134130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51134130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

51134130 is an abundant number, since it is smaller than the sum of its proper divisors (97128270).

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

51134130 is a wasteful number, since it uses less digits than its factorization.

51134130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51134130 is about 7150.8132404643. The cubic root of 51134130 is about 371.1677980094.

Adding to 51134130 its reverse (3143115), we get a palindrome (54277245).

The spelling of 51134130 in words is "fifty-one million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 765 855 969 1530 1615 1710 1759 1938 2907 3230 3518 4845 5277 5814 8795 9690 10554 14535 15831 17590 26385 29070 29903 31662 33421 52770 59806 66842 79155 89709 100263 149515 158310 167105 179418 200526 269127 299030 300789 334210 448545 501315 538254 568157 601578 897090 1002630 1136314 1345635 1503945 1704471 2691270 2840785 3007890 3408942 5113413 5681570 8522355 10226826 17044710 25567065 51134130