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123000 = 2335341
BaseRepresentation
bin11110000001111000
320020201120
4132001320
512414000
62345240
71021413
oct360170
9206646
10123000
1184459
125b220
1343ca7
1432b7a
15266a0
hex1e078

123000 has 64 divisors (see below), whose sum is σ = 393120. Its totient is φ = 32000.

The previous prime is 122971. The next prime is 123001. The reversal of 123000 is 321.

Adding to 123000 its reverse (321), we get a palindrome (123321).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 123000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001) by changing a digit.

123000 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 15 ways as a sum of consecutive naturals, for example, 2980 + ... + 3020.

2123000 is an apocalyptic number.

123000 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 123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

123000 is an abundant number, since it is smaller than the sum of its proper divisors (270120).

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

123000 is a wasteful number, since it uses less digits than its factorization.

123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 123000 is about 350.7135583350. The cubic root of 123000 is about 49.7318983327.

The spelling of 123000 in words is "one hundred twenty-three thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 61500 123000