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7080864 = 253741257
BaseRepresentation
bin11011000000101110100000
3111022202010020
4123000232200
53303041424
6411433440
7114120630
oct33005640
914282106
107080864
113aa6a5a
122455880
13160bc7b
14d246c0
1594d079
hex6c0ba0

7080864 has 96 divisors (see below), whose sum is σ = 21845376. Its totient is φ = 1966080.

The previous prime is 7080859. The next prime is 7080869. The reversal of 7080864 is 4680807.

It is an interprime number because it is at equal distance from previous prime (7080859) and next prime (7080869).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7080869) 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, 27424 + ... + 27680.

It is an arithmetic number, because the mean of its divisors is an integer number (227556).

Almost surely, 27080864 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 7080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922688).

7080864 is an abundant number, since it is smaller than the sum of its proper divisors (14764512).

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

7080864 is a wasteful number, since it uses less digits than its factorization.

7080864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7080864 is about 2660.9892897191. The cubic root of 7080864 is about 192.0269059516.

The spelling of 7080864 in words is "seven million, eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 257 287 328 336 492 514 574 656 672 771 861 984 1028 1148 1312 1542 1722 1799 1968 2056 2296 3084 3444 3598 3936 4112 4592 5397 6168 6888 7196 8224 9184 10537 10794 12336 13776 14392 21074 21588 24672 27552 28784 31611 42148 43176 57568 63222 73759 84296 86352 126444 147518 168592 172704 221277 252888 295036 337184 442554 505776 590072 885108 1011552 1180144 1770216 2360288 3540432 7080864