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124288 = 27971
BaseRepresentation
bin11110010110000000
320022111021
4132112000
512434123
62355224
71025233
oct362600
9208437
10124288
118541a
125bb14
1344758
143341a
1526c5d
hex1e580

124288 has 16 divisors (see below), whose sum is σ = 247860. Its totient is φ = 62080.

The previous prime is 124277. The next prime is 124291. The reversal of 124288 is 882421.

It is a tau number, because it is divible by the number of its divisors (16).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

124288 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 358 + ... + 613.

2124288 is an apocalyptic number.

It is an amenable number.

124288 is a deficient number, since it is larger than the sum of its proper divisors (123572).

124288 is an frugal number, since it uses more digits than its factorization.

124288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 124288 is about 352.5450325845. The cubic root of 124288 is about 49.9048858474.

The spelling of 124288 in words is "one hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 971 1942 3884 7768 15536 31072 62144 124288