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51540060 = 223511136007
BaseRepresentation
bin1100010010011…
…1000001011100
310120222111200010
43010213001130
5101143240220
65040403220
71164040365
oct304470134
9116874603
1051540060
11271028a0
1215316510
13a8a73a0
146bb8b6c
1547d11e0
hex312705c

51540060 has 96 divisors (see below), whose sum is σ = 169569792. Its totient is φ = 11531520.

The previous prime is 51540053. The next prime is 51540061. The reversal of 51540060 is 6004515.

It is a happy number.

It is a super-3 number, since 3×515400603 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51540061) 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 31 ways as a sum of consecutive naturals, for example, 5577 + ... + 11583.

It is an arithmetic number, because the mean of its divisors is an integer number (1766352).

Almost surely, 251540060 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 51540060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84784896).

51540060 is an abundant number, since it is smaller than the sum of its proper divisors (118029732).

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

51540060 is a wasteful number, since it uses less digits than its factorization.

51540060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 51540060 is about 7179.1406170934. The cubic root of 51540060 is about 372.1473863891.

Adding to 51540060 its reverse (6004515), we get a palindrome (57544575).

The spelling of 51540060 in words is "fifty-one million, five hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 6007 8580 12014 18021 24028 30035 36042 60070 66077 72084 78091 90105 120140 132154 156182 180210 198231 234273 264308 312364 330385 360420 390455 396462 468546 660770 780910 792924 859001 937092 991155 1171365 1321540 1561820 1718002 1982310 2342730 2577003 3436004 3964620 4295005 4685460 5154006 8590010 10308012 12885015 17180020 25770030 51540060