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1320664608 = 25337320939
BaseRepresentation
bin100111010110111…
…1011111000100000
310102001001201021000
41032231323320200
510201042231413
6335014232000
744504315064
oct11655737040
93361051230
101320664608
1161853195a
1230a355600
131807c1a63
14c757daa4
157ae23073
hex4eb7be20

1320664608 has 96 divisors (see below), whose sum is σ = 3904891200. Its totient is φ = 434170368.

The previous prime is 1320664607. The next prime is 1320664613. The reversal of 1320664608 is 8064660231.

1320664608 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 6 + 646 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1320664607) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52603 + ... + 73541.

It is an arithmetic number, because the mean of its divisors is an integer number (40675950).

Almost surely, 21320664608 is an apocalyptic number.

1320664608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320664608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952445600).

1320664608 is an abundant number, since it is smaller than the sum of its proper divisors (2584226592).

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

1320664608 is a wasteful number, since it uses less digits than its factorization.

1320664608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21031 (or 21017 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1320664608 is about 36340.9494647567. The cubic root of 1320664608 is about 1097.1453829462.

The spelling of 1320664608 in words is "one billion, three hundred twenty million, six hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1314 1752 1971 2336 2628 3504 3942 5256 7008 7884 10512 15768 20939 21024 31536 41878 62817 63072 83756 125634 167512 188451 251268 335024 376902 502536 565353 670048 753804 1005072 1130706 1507608 1528547 2010144 2261412 3015216 3057094 4522824 4585641 6030432 6114188 9045648 9171282 12228376 13756923 18091296 18342564 24456752 27513846 36685128 41270769 48913504 55027692 73370256 82541538 110055384 146740512 165083076 220110768 330166152 440221536 660332304 1320664608