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124928 = 21161
BaseRepresentation
bin11110100000000000
320100100222
4132200000
512444203
62402212
71030136
oct364000
9210328
10124928
1185951
1260368
1344b2b
1433756
1527038
hex1e800

124928 has 24 divisors (see below), whose sum is σ = 253890. Its totient is φ = 61440.

The previous prime is 124919. The next prime is 124951. The reversal of 124928 is 829421.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 1024 = 352^2 + 32^2 .

It is a junction number, because it is equal to n+sod(n) for n = 124897 and 124906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2018 + ... + 2078.

2124928 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 124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126945).

124928 is an abundant number, since it is smaller than the sum of its proper divisors (128962).

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

124928 is an frugal number, since it uses more digits than its factorization.

124928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 124928 is about 353.4515525500. The cubic root of 124928 is about 49.9903981562.

The spelling of 124928 in words is "one hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2048 3904 7808 15616 31232 62464 124928