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7055664 = 2437112383
BaseRepresentation
bin11010111010100100110000
3111021110112220
4122322210300
53301240124
6411121040
7113654310
oct32724460
914243486
107055664
113a8a030
122443180
131600665
14d19440
15945879
hex6ba930

7055664 has 160 divisors (see below), whose sum is σ = 23998464. Its totient is φ = 1731840.

The previous prime is 7055651. The next prime is 7055677. The reversal of 7055664 is 4665507.

7055664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7055651) and next prime (7055677).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 84967 + ... + 85049.

Almost surely, 27055664 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 7055664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999232).

7055664 is an abundant number, since it is smaller than the sum of its proper divisors (16942800).

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

7055664 is a wasteful number, since it uses less digits than its factorization.

7055664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 7055664 is about 2656.2499882353. The cubic root of 7055664 is about 191.7988344438.

The spelling of 7055664 in words is "seven million, fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 83 84 88 92 112 132 138 154 161 166 168 176 184 231 249 253 264 276 308 322 332 336 368 462 483 498 506 528 552 581 616 644 664 759 913 924 966 996 1012 1104 1162 1232 1288 1328 1518 1743 1771 1826 1848 1909 1932 1992 2024 2324 2576 2739 3036 3486 3542 3652 3696 3818 3864 3984 4048 4648 5313 5478 5727 6072 6391 6972 7084 7304 7636 7728 9296 10626 10956 11454 12144 12782 13363 13944 14168 14608 15272 19173 20999 21252 21912 22908 25564 26726 27888 28336 30544 38346 40089 41998 42504 43824 45816 51128 53452 62997 76692 80178 83996 85008 91632 102256 106904 125994 146993 153384 160356 167992 213808 251988 293986 306768 320712 335984 440979 503976 587972 641424 881958 1007952 1175944 1763916 2351888 3527832 7055664