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1320480168 = 2337174011153
BaseRepresentation
bin100111010110100…
…1110110110101000
310102000201100020220
41032231032312220
510201020331133
6335010250040
744502616260
oct11655166650
93360640226
101320480168
11618416327
1230a286920
13180758b17
14c75327a0
157add85b3
hex4eb4eda8

1320480168 has 128 divisors (see below), whose sum is σ = 4008165120. Its totient is φ = 353894400.

The previous prime is 1320480157. The next prime is 1320480191. The reversal of 1320480168 is 8610840231.

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 31 ways as a sum of consecutive naturals, for example, 1144680 + ... + 1145832.

It is an arithmetic number, because the mean of its divisors is an integer number (31313790).

Almost surely, 21320480168 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 1320480168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004082560).

1320480168 is an abundant number, since it is smaller than the sum of its proper divisors (2687684952).

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

1320480168 is a wasteful number, since it uses less digits than its factorization.

1320480168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1320480168 is about 36338.4117429477. The cubic root of 1320480168 is about 1097.0943059066.

The spelling of 1320480168 in words is "one billion, three hundred twenty million, four hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 401 408 476 714 802 952 1153 1203 1428 1604 2306 2406 2807 2856 3208 3459 4612 4812 5614 6817 6918 8071 8421 9224 9624 11228 13634 13836 16142 16842 19601 20451 22456 24213 27268 27672 32284 33684 39202 40902 47719 48426 54536 58803 64568 67368 78404 81804 95438 96852 117606 137207 143157 156808 163608 190876 193704 235212 274414 286314 381752 411621 462353 470424 548828 572628 823242 924706 1097656 1145256 1387059 1646484 1849412 2774118 3236471 3292968 3698824 5548236 6472942 7860001 9709413 11096472 12945884 15720002 19418826 23580003 25891768 31440004 38837652 47160006 55020007 62880008 77675304 94320012 110040014 165060021 188640024 220080028 330120042 440160056 660240084 1320480168