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207000 = 23325323
BaseRepresentation
bin110010100010011000
3101111221200
4302202120
523111000
64234200
71521333
oct624230
9344850
10207000
11131582
129b960
13732b1
145561a
1541500
hex32898

207000 has 96 divisors (see below), whose sum is σ = 730080. Its totient is φ = 52800.

The previous prime is 206993. The next prime is 207013. The reversal of 207000 is 702.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

207000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 8989 + ... + 9011.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2207000 is an apocalyptic number.

207000 is a gapful number since it is divisible by the number (20) 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 207000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365040).

207000 is an abundant number, since it is smaller than the sum of its proper divisors (523080).

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

207000 is a wasteful number, since it uses less digits than its factorization.

207000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 207000 is about 454.9725266431. The cubic root of 207000 is about 59.1548169970.

Adding to 207000 its reverse (702), we get a palindrome (207702).

The spelling of 207000 in words is "two hundred seven thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 125 138 150 180 184 200 207 225 230 250 276 300 345 360 375 414 450 460 500 552 575 600 690 750 828 900 920 1000 1035 1125 1150 1380 1500 1656 1725 1800 2070 2250 2300 2760 2875 3000 3450 4140 4500 4600 5175 5750 6900 8280 8625 9000 10350 11500 13800 17250 20700 23000 25875 34500 41400 51750 69000 103500 207000