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5666976 = 25337937
BaseRepresentation
bin10101100111100010100000
3101122220122000
4111213202200
52422320401
6321244000
766111540
oct25474240
911586560
105666976
113220757
121a93600
131235553
14a77320
1576e186
hex5678a0

5666976 has 96 divisors (see below), whose sum is σ = 18910080. Its totient is φ = 1617408.

The previous prime is 5666971. The next prime is 5666981. The reversal of 5666976 is 6796665.

It is an interprime number because it is at equal distance from previous prime (5666971) and next prime (5666981).

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

It is a super-2 number, since 2×56669762 = 64229233969152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5666971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5580 + ... + 6516.

It is an arithmetic number, because the mean of its divisors is an integer number (196980).

Almost surely, 25666976 is an apocalyptic number.

5666976 is a gapful number since it is divisible by the number (56) 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 5666976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9455040).

5666976 is an abundant number, since it is smaller than the sum of its proper divisors (13243104).

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

5666976 is a wasteful number, since it uses less digits than its factorization.

5666976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 949 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 5666976 is about 2380.5411149568. The cubic root of 5666976 is about 178.2859520284.

The spelling of 5666976 in words is "five million, six hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 937 1008 1512 1874 2016 2811 3024 3748 5622 6048 6559 7496 8433 11244 13118 14992 16866 19677 22488 25299 26236 29984 33732 39354 44976 50598 52472 59031 67464 78708 89952 101196 104944 118062 134928 157416 177093 202392 209888 236124 269856 314832 354186 404784 472248 629664 708372 809568 944496 1416744 1888992 2833488 5666976