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51123060 = 223251911487
BaseRepresentation
bin1100001100000…
…1001101110100
310120012022122200
43003001031310
5101041414220
65023424500
71160352552
oct303011564
9116168580
1051123060
112694856a
1215155130
13a78c641
146b0abd2
15474c890
hex30c1374

51123060 has 72 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 13552320.

The previous prime is 51123047. The next prime is 51123067. The reversal of 51123060 is 6032115.

It is a super-2 number, since 2×511230602 = 5227134527527200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51123067) 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 23 ways as a sum of consecutive naturals, for example, 33637 + ... + 35123.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 251123060 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 51123060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

51123060 is an abundant number, since it is smaller than the sum of its proper divisors (104866956).

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

51123060 is a wasteful number, since it uses less digits than its factorization.

51123060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1688 counting only the distinct ones).

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

The square root of 51123060 is about 7150.0391607319. The cubic root of 51123060 is about 371.1410114381.

Adding to 51123060 its reverse (6032115), we get a palindrome (57155175).

The spelling of 51123060 in words is "fifty-one million, one hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1487 1719 1910 2292 2865 2974 3438 3820 4461 5730 5948 6876 7435 8595 8922 11460 13383 14870 17190 17844 22305 26766 29740 34380 44610 53532 66915 89220 133830 267660 284017 568034 852051 1136068 1420085 1704102 2556153 2840170 3408204 4260255 5112306 5680340 8520510 10224612 12780765 17041020 25561530 51123060