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117000 = 23325313
BaseRepresentation
bin11100100100001000
312221111100
4130210020
512221000
62301400
7665052
oct344410
9187440
10117000
117a9a4
1257860
1341340
14308d2
1524a00
hex1c908

117000 has 96 divisors (see below), whose sum is σ = 425880. Its totient is φ = 28800.

The previous prime is 116993. The next prime is 117017. The reversal of 117000 is 711.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 101124 = 126^2 + 318^2 .

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

It is an unprimeable number.

117000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8994 + ... + 9006.

2117000 is an apocalyptic number.

117000 is a gapful number since it is divisible by the number (10) 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 117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212940).

117000 is an abundant number, since it is smaller than the sum of its proper divisors (308880).

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

117000 is a wasteful number, since it uses less digits than its factorization.

117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 117000 is about 342.0526275297. The cubic root of 117000 is about 48.9097324651.

Adding to 117000 its reverse (711), we get a palindrome (117711).

The spelling of 117000 in words is "one hundred seventeen thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 125 130 150 156 180 195 200 225 234 250 260 300 312 325 360 375 390 450 468 500 520 585 600 650 750 780 900 936 975 1000 1125 1170 1300 1500 1560 1625 1800 1950 2250 2340 2600 2925 3000 3250 3900 4500 4680 4875 5850 6500 7800 9000 9750 11700 13000 14625 19500 23400 29250 39000 58500 117000