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1320255666 = 2331710713441
BaseRepresentation
bin100111010110001…
…1000000010110010
310102000021221022000
41032230120002302
510200441140131
6335001354430
744500662612
oct11654300262
93360257260
101320255666
11618282694
1230a198a16
131806aa892
14c74b4a42
157ad91ce6
hex4eb180b2

1320255666 has 64 divisors (see below), whose sum is σ = 3135749760. Its totient is φ = 410296320.

The previous prime is 1320255661. The next prime is 1320255707. The reversal of 1320255666 is 6665520231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1320255666.

It is not an unprimeable number, because it can be changed into a prime (1320255661) 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 31 ways as a sum of consecutive naturals, for example, 91506 + ... + 104946.

It is an arithmetic number, because the mean of its divisors is an integer number (48996090).

Almost surely, 21320255666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320255666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567874880).

1320255666 is an abundant number, since it is smaller than the sum of its proper divisors (1815494094).

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

1320255666 is a wasteful number, since it uses less digits than its factorization.

1320255666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576 (or 13570 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1320255666 is about 36335.3225663403. The cubic root of 1320255666 is about 1097.0321280637.

Adding to 1320255666 its reverse (6665520231), we get a palindrome (7985775897).

The spelling of 1320255666 in words is "one billion, three hundred twenty million, two hundred fifty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 107 153 214 306 321 459 642 918 963 1819 1926 2889 3638 5457 5778 10914 13441 16371 26882 32742 40323 49113 80646 98226 120969 228497 241938 362907 456994 685491 725814 1370982 1438187 2056473 2876374 4112946 4314561 6169419 8629122 12338838 12943683 24449179 25887366 38831049 48898358 73347537 77662098 146695074 220042611 440085222 660127833 1320255666