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7025120 = 25523283
BaseRepresentation
bin11010110011000111100000
3111012220122122
4122303013200
53244300440
6410323412
7113466254
oct32630740
914186578
107025120
113a69093
122429568
1315bc79b
14d0c264
1593b7b5
hex6b31e0

7025120 has 72 divisors (see below), whose sum is σ = 17558856. Its totient is φ = 2655488.

The previous prime is 7025113. The next prime is 7025129. The reversal of 7025120 is 215207.

It is a super-2 number, since 2×70251202 = 98704622028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7025129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84599 + ... + 84681.

It is an arithmetic number, because the mean of its divisors is an integer number (243873).

Almost surely, 27025120 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 7025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779428).

7025120 is an abundant number, since it is smaller than the sum of its proper divisors (10533736).

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

7025120 is a wasteful number, since it uses less digits than its factorization.

7025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 7025120 is about 2650.4942935234. The cubic root of 7025120 is about 191.5216681120.

The spelling of 7025120 in words is "seven million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 83 92 115 160 166 184 230 332 368 415 460 529 664 736 830 920 1058 1328 1660 1840 1909 2116 2645 2656 3320 3680 3818 4232 5290 6640 7636 8464 9545 10580 13280 15272 16928 19090 21160 30544 38180 42320 43907 61088 76360 84640 87814 152720 175628 219535 305440 351256 439070 702512 878140 1405024 1756280 3512560 7025120