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123488 = 2517227
BaseRepresentation
bin11110001001100000
320021101122
4132021200
512422423
62351412
71023011
oct361140
9207348
10123488
1184862
125b568
1344291
1433008
15268c8
hex1e260

123488 has 24 divisors (see below), whose sum is σ = 258552. Its totient is φ = 57856.

The previous prime is 123479. The next prime is 123491. The reversal of 123488 is 884321.

It is a super-2 number, since 2×1234882 = 30498572288, which contains 22 as substring.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 431 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2123488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276).

123488 is an abundant number, since it is smaller than the sum of its proper divisors (135064).

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

123488 is a wasteful number, since it uses less digits than its factorization.

123488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 123488 is about 351.4085940896. The cubic root of 123488 is about 49.7975816420.

The spelling of 123488 in words is "one hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 227 272 454 544 908 1816 3632 3859 7264 7718 15436 30872 61744 123488