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1320051564 = 22321321712763
BaseRepresentation
bin100111010101110…
…0110001101101100
310101222220120022200
41032223212031230
510200413122224
6334553141500
744466152556
oct11653461554
93358816280
101320051564
11618153307
1230a0ba890
13180638a00
14c74604d6
157ad515c9
hex4eae636c

1320051564 has 108 divisors (see below), whose sum is σ = 3826060056. Its totient is φ = 382247424.

The previous prime is 1320051559. The next prime is 1320051583. The reversal of 1320051564 is 4651500231.

It is a super-2 number, since 2×13200515642 = 3485072263237692192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97047 + ... + 109809.

It is an arithmetic number, because the mean of its divisors is an integer number (35426482).

Almost surely, 21320051564 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 1320051564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913030028).

1320051564 is an abundant number, since it is smaller than the sum of its proper divisors (2506008492).

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

1320051564 is a wasteful number, since it uses less digits than its factorization.

1320051564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1320051564 is about 36332.5138684347. The cubic root of 1320051564 is about 1096.9755940664.

Adding to 1320051564 its reverse (4651500231), we get a palindrome (5971551795).

The spelling of 1320051564 in words is "one billion, three hundred twenty million, fifty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 169 204 221 234 306 338 442 468 507 612 663 676 884 1014 1326 1521 1989 2028 2652 2873 3042 3978 5746 6084 7956 8619 11492 12763 17238 25526 25857 34476 38289 51052 51714 76578 103428 114867 153156 165919 216971 229734 331838 433942 459468 497757 650913 663676 867884 995514 1301826 1493271 1952739 1991028 2156947 2603652 2820623 2986542 3905478 4313894 5641246 5973084 6470841 7810956 8461869 8627788 11282492 12941682 16923738 19412523 25385607 25883364 33847476 36668099 38825046 50771214 73336198 77650092 101542428 110004297 146672396 220008594 330012891 440017188 660025782 1320051564