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123004 = 22723191
BaseRepresentation
bin11110000001111100
320020201201
4132001330
512414004
62345244
71021420
oct360174
9206651
10123004
1184462
125b224
1343cab
1432b80
15266a4
hex1e07c

123004 has 24 divisors (see below), whose sum is σ = 258048. Its totient is φ = 50160.

The previous prime is 123001. The next prime is 123007. The reversal of 123004 is 400321.

It is an interprime number because it is at equal distance from previous prime (123001) and next prime (123007).

It is a zygodrome in base 2.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2123004 is an apocalyptic number.

123004 is a gapful number since it is divisible by the number (14) 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 123004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

123004 is an abundant number, since it is smaller than the sum of its proper divisors (135044).

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

123004 is a wasteful number, since it uses less digits than its factorization.

123004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 123004 is about 350.7192609481. The cubic root of 123004 is about 49.7324374260.

Adding to 123004 its reverse (400321), we get a palindrome (523325).

It can be divided in two parts, 1 and 23004, that added together give a triangular number (23005 = T214).

The spelling of 123004 in words is "one hundred twenty-three thousand, four", and thus it is an iban number.

Divisors: 1 2 4 7 14 23 28 46 92 161 191 322 382 644 764 1337 2674 4393 5348 8786 17572 30751 61502 123004