Search a number
-
+
124028320 = 2551359629
BaseRepresentation
bin1110110010010…
…00010110100000
322122101021212111
413121020112200
5223222401240
620150205104
73034136413
oct731102640
9278337774
10124028320
1164013349
1235653794
131c907650
1412687b7a
15ad4e1ea
hex76485a0

124028320 has 48 divisors (see below), whose sum is σ = 315561960. Its totient is φ = 45794304.

The previous prime is 124028309. The next prime is 124028339. The reversal of 124028320 is 23820421.

It can be written as a sum of positive squares in 4 ways, for example, as 79352464 + 44675856 = 8908^2 + 6684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 124028291 and 124028300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27735 + ... + 31894.

Almost surely, 2124028320 is an apocalyptic number.

124028320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124028320 is an abundant number, since it is smaller than the sum of its proper divisors (191533640).

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

124028320 is a wasteful number, since it uses less digits than its factorization.

124028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59657 (or 59649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 124028320 is about 11136.8002586021. The cubic root of 124028320 is about 498.7010550730.

Adding to 124028320 its reverse (23820421), we get a palindrome (147848741).

The spelling of 124028320 in words is "one hundred twenty-four million, twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 59629 119258 238516 298145 477032 596290 775177 954064 1192580 1550354 1908128 2385160 3100708 3875885 4770320 6201416 7751770 9540640 12402832 15503540 24805664 31007080 62014160 124028320