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1668040960 = 2852356659
BaseRepresentation
bin110001101101100…
…0100100100000000
311022020201021000211
41203123010210000
511404004302320
6433303523504
756223054115
oct14333044400
94266637024
101668040960
11786624953
123a6759594
132077699b1
1411b76690c
159b68e55a
hex636c4900

1668040960 has 72 divisors (see below), whose sum is σ = 4169269440. Its totient is φ = 638195712.

The previous prime is 1668040949. The next prime is 1668040999. The reversal of 1668040960 is 690408661.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111 + ... + 57769.

It is an arithmetic number, because the mean of its divisors is an integer number (57906520).

Almost surely, 21668040960 is an apocalyptic number.

1668040960 is a gapful number since it is divisible by the number (10) 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 1668040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084634720).

1668040960 is an abundant number, since it is smaller than the sum of its proper divisors (2501228480).

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

1668040960 is an equidigital number, since it uses as much as digits as its factorization.

1668040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56703 (or 56689 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1668040960 is about 40841.6571652033. The cubic root of 1668040960 is about 1185.9568929502.

The spelling of 1668040960 in words is "one billion, six hundred sixty-eight million, forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 14720 29440 56659 113318 226636 283295 453272 566590 906544 1133180 1303157 1813088 2266360 2606314 3626176 4532720 5212628 6515785 7252352 9065440 10425256 13031570 14504704 18130880 20850512 26063140 36261760 41701024 52126280 72523520 83402048 104252560 166804096 208505120 333608192 417010240 834020480 1668040960