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123380 = 22531199
BaseRepresentation
bin11110000111110100
320021020122
4132013310
512422010
62351112
71022465
oct360764
9207218
10123380
1184774
125b498
134420a
1432d6c
1526855
hex1e1f4

123380 has 24 divisors (see below), whose sum is σ = 268800. Its totient is φ = 47520.

The previous prime is 123379. The next prime is 123397. The reversal of 123380 is 83321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (11200).

2123380 is an apocalyptic number.

123380 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 123380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

123380 is an abundant number, since it is smaller than the sum of its proper divisors (145420).

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

123380 is a wasteful number, since it uses less digits than its factorization.

123380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 123380 is about 351.2548932044. The cubic root of 123380 is about 49.7830601029.

The spelling of 123380 in words is "one hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 199 310 398 620 796 995 1990 3980 6169 12338 24676 30845 61690 123380