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1679587968 = 2734373927
BaseRepresentation
bin110010000011100…
…0111101010000000
311100001102220112210
41210013013222000
511414433303333
6434355222120
756423155632
oct14407075200
94301386483
101679587968
117920a1333
123aa5a7940
13209c80746
1411d0d0a52
159c6c0a63
hex641c7a80

1679587968 has 32 divisors (see below), whose sum is σ = 4461406560. Its totient is φ = 559862528.

The previous prime is 1679587957. The next prime is 1679587979. The reversal of 1679587968 is 8697859761.

It is an interprime number because it is at equal distance from previous prime (1679587957) and next prime (1679587979).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1679587899 and 1679587908.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2186580 + ... + 2187347.

It is an arithmetic number, because the mean of its divisors is an integer number (139418955).

Almost surely, 21679587968 is an apocalyptic number.

It is an amenable number.

1679587968 is an abundant number, since it is smaller than the sum of its proper divisors (2781818592).

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

1679587968 is an equidigital number, since it uses as much as digits as its factorization.

1679587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373944 (or 4373932 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 66.

The square root of 1679587968 is about 40982.7764798824. The cubic root of 1679587968 is about 1188.6871966520.

The spelling of 1679587968 in words is "one billion, six hundred seventy-nine million, five hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 4373927 8747854 13121781 17495708 26243562 34991416 52487124 69982832 104974248 139965664 209948496 279931328 419896992 559862656 839793984 1679587968