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1068479904 = 25323617933
BaseRepresentation
bin111111101011111…
…011010110100000
32202110112101212210
4333223323112200
54142012324104
6254005122120
735322633522
oct7753732640
92673471783
101068479904
114a9146848
122599b9340
13140495b3b
14a1c95a12
1563c0b989
hex3fafb5a0

1068479904 has 96 divisors (see below), whose sum is σ = 2975059584. Its totient is φ = 335047680.

The previous prime is 1068479899. The next prime is 1068479917. The reversal of 1068479904 is 4099748601.

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

It is a super-2 number, since 2×10684799042 = 2283298610503698432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130722 + ... + 138654.

It is an arithmetic number, because the mean of its divisors is an integer number (30990204).

Almost surely, 21068479904 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 1068479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487529792).

1068479904 is an abundant number, since it is smaller than the sum of its proper divisors (1906579680).

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

1068479904 is a wasteful number, since it uses less digits than its factorization.

1068479904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1068479904 is about 32687.6108640567. The cubic root of 1068479904 is about 1022.3245408049.

The spelling of 1068479904 in words is "one billion, sixty-eight million, four hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 69 92 96 122 138 183 184 244 276 366 368 488 552 732 736 976 1104 1403 1464 1952 2208 2806 2928 4209 5612 5856 7933 8418 11224 15866 16836 22448 23799 31732 33672 44896 47598 63464 67344 95196 126928 134688 182459 190392 253856 364918 380784 483913 547377 729836 761568 967826 1094754 1451739 1459672 1935652 2189508 2903478 2919344 3871304 4379016 5806956 5838688 7742608 8758032 11129999 11613912 15485216 17516064 22259998 23227824 33389997 44519996 46455648 66779994 89039992 133559988 178079984 267119976 356159968 534239952 1068479904