Search a number
-
+
51012600 = 2335285021
BaseRepresentation
bin1100001010011…
…0001111111000
310112222201010120
43002212033320
5101024400400
65021213240
71156412532
oct302461770
9115881116
1051012600
1126882581
1215101220
13a751292
146abc852
154729ca0
hex30a63f8

51012600 has 48 divisors (see below), whose sum is σ = 158140920. Its totient is φ = 13603200.

The previous prime is 51012593. The next prime is 51012601. The reversal of 51012600 is 621015.

51012600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51012600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51012601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41911 + ... + 43110.

Almost surely, 251012600 is an apocalyptic number.

51012600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51012600 is an abundant number, since it is smaller than the sum of its proper divisors (107128320).

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

51012600 is a wasteful number, since it uses less digits than its factorization.

51012600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85040 (or 85031 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 51012600 is about 7142.3105505151. The cubic root of 51012600 is about 370.8735144218.

Adding to 51012600 its reverse (621015), we get a palindrome (51633615).

The spelling of 51012600 in words is "fifty-one million, twelve thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 85021 170042 255063 340084 425105 510126 680168 850210 1020252 1275315 1700420 2040504 2125525 2550630 3400840 4251050 5101260 6376575 8502100 10202520 12753150 17004200 25506300 51012600