Search a number
-
+
124988328 = 233215711057
BaseRepresentation
bin1110111001100…
…10101110101000
322201012001202100
413130302232220
5223444111303
620222533400
73045245313
oct734625650
9281161670
10124988328
1164609643
1235a37260
131cb825ba
141285797a
15ae8d8a3
hex7732ba8

124988328 has 48 divisors (see below), whose sum is σ = 340696980. Its totient is φ = 41393664.

The previous prime is 124988323. The next prime is 124988341. The reversal of 124988328 is 823889421.

124988328 is a `hidden beast` number, since 1 + 249 + 88 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115734564 + 9253764 = 10758^2 + 3042^2 .

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

It is not an unprimeable number, because it can be changed into a prime (124988321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5776 + ... + 16832.

Almost surely, 2124988328 is an apocalyptic number.

124988328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124988328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170348490).

124988328 is an abundant number, since it is smaller than the sum of its proper divisors (215708652).

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

124988328 is a wasteful number, since it uses less digits than its factorization.

124988328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11219 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 124988328 is about 11179.8178876044. The cubic root of 124988328 is about 499.9844368489.

It can be divided in two parts, 124988 and 328, that added together give a square (125316 = 3542).

The spelling of 124988328 in words is "one hundred twenty-four million, nine hundred eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11057 11304 22114 33171 44228 66342 88456 99513 132684 199026 265368 398052 796104 1735949 3471898 5207847 6943796 10415694 13887592 15623541 20831388 31247082 41662776 62494164 124988328