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124672 = 28487
BaseRepresentation
bin11110011100000000
320100000111
4132130000
512442142
62401104
71026322
oct363400
9210014
10124672
1185739
1260194
1344992
1433612
1526e17
hex1e700

124672 has 18 divisors (see below), whose sum is σ = 249368. Its totient is φ = 62208.

The previous prime is 124669. The next prime is 124673. The reversal of 124672 is 276421.

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 (124673) by changing a digit.

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 as a sum of consecutive naturals, namely, 13 + ... + 499.

2124672 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 124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124684).

124672 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

124672 is an frugal number, since it uses more digits than its factorization.

124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 124672 is about 353.0892238514. The cubic root of 124672 is about 49.9562283587.

The spelling of 124672 in words is "one hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 487 974 1948 3896 7792 15584 31168 62336 124672