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51720606 = 235723661
BaseRepresentation
bin1100010101001…
…1000110011110
310121022200100000
43011103012132
5101220024411
65044315130
71165421640
oct305230636
9117280300
1051720606
1127216503
12153a2aa6
13a93b612
146c24890
154819956
hex315319e

51720606 has 96 divisors (see below), whose sum is σ = 138797568. Its totient is φ = 14113440.

The previous prime is 51720593. The next prime is 51720607. The reversal of 51720606 is 60602715.

51720606 is a `hidden beast` number, since 51 + 7 + 2 + 0 + 606 = 666.

51720606 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51720606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51720607) 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 47 ways as a sum of consecutive naturals, for example, 77916 + ... + 78576.

It is an arithmetic number, because the mean of its divisors is an integer number (1445808).

Almost surely, 251720606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51720606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69398784).

51720606 is an abundant number, since it is smaller than the sum of its proper divisors (87076962).

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

51720606 is a wasteful number, since it uses less digits than its factorization.

51720606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 51720606 is about 7191.7039705483. The cubic root of 51720606 is about 372.5814268788.

It can be divided in two parts, 51720 and 606, that added together give a triangular number (52326 = T323).

The spelling of 51720606 in words is "fifty-one million, seven hundred twenty thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 378 414 483 486 567 621 661 966 1134 1242 1322 1449 1701 1863 1983 2898 3402 3726 3966 4347 4627 5589 5949 8694 9254 11178 11898 13041 13881 15203 17847 26082 27762 30406 35694 39123 41643 45609 53541 78246 83286 91218 106421 107082 124929 136827 160623 212842 249858 273654 319263 321246 374787 410481 638526 749574 820962 957789 1124361 1231443 1915578 2248722 2462886 2873367 3694329 5746734 7388658 8620101 17240202 25860303 51720606