Search a number
-
+
124941432 = 233711174197
BaseRepresentation
bin1110111001001…
…11010001111000
322201002200102110
413130213101320
5223441111212
620221532320
73044661510
oct734472170
9281080373
10124941432
1164587390
1235a140a0
131cb67155
1412844840
15ae7ea3c
hex7727478

124941432 has 256 divisors, whose sum is σ = 426746880. Its totient is φ = 29491200.

The previous prime is 124941431. The next prime is 124941437. The reversal of 124941432 is 234149421.

It is a super-3 number, since 3×1249414323 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 124941432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124941431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288008 + ... + 1288104.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2124941432 is an apocalyptic number.

124941432 is a gapful number since it is divisible by the number (12) 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 124941432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

124941432 is an abundant number, since it is smaller than the sum of its proper divisors (301805448).

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

124941432 is a wasteful number, since it uses less digits than its factorization.

124941432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 124941432 is about 11177.7203400336. The cubic root of 124941432 is about 499.9218971339.

The spelling of 124941432 in words is "one hundred twenty-four million, nine hundred forty-one thousand, four hundred thirty-two".