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7000 = 23537
BaseRepresentation
bin1101101011000
3100121021
41231120
5211000
652224
726260
oct15530
910537
107000
115294
124074
133256
1427a0
15211a
hex1b58

7000 has 32 divisors (see below), whose sum is σ = 18720. Its totient is φ = 2400.

The previous prime is 6997. The next prime is 7001. The reversal of 7000 is 7.

It is a happy number.

It is a sliding number, since 7000 = 2000 + 5000 and 1/2000 + 1/5000 = 0.0007000.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 5 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 997 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

27000 is an apocalyptic number.

7000 is a gapful number since it is divisible by the number (70) 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 7000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360).

7000 is an abundant number, since it is smaller than the sum of its proper divisors (11720).

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

7000 is a wasteful number, since it uses less digits than its factorization.

7000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 7.

The square root of 7000 is about 83.6660026534. Note that the first 3 decimals coincide. The cubic root of 7000 is about 19.1293118277.

The spelling of 7000 in words is "seven thousand", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000