Search a number
-
+
124271744 = 279710009
BaseRepresentation
bin1110110100000…
…11110010000000
322122211122210012
413122003302000
5223303143434
620155324052
73036202202
oct732036200
9278748705
10124271744
116416a223
1235750628
131c99139c
141270c772
15ad9b3ce
hex7683c80

124271744 has 32 divisors (see below), whose sum is σ = 250149900. Its totient is φ = 61489152.

The previous prime is 124271743. The next prime is 124271827. The reversal of 124271744 is 447172421.

It can be written as a sum of positive squares in 2 ways, for example, as 110670400 + 13601344 = 10520^2 + 3688^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 124271744.

It is not an unprimeable number, because it can be changed into a prime (124271743) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7412 + ... + 17420.

Almost surely, 2124271744 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 124271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125074950).

124271744 is an abundant number, since it is smaller than the sum of its proper divisors (125878156).

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

124271744 is an equidigital number, since it uses as much as digits as its factorization.

124271744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 10108 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 124271744 is about 11147.7237138350. The cubic root of 124271744 is about 499.0271001596.

The spelling of 124271744 in words is "one hundred twenty-four million, two hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 10009 12416 20018 40036 80072 160144 320288 640576 970873 1281152 1941746 3883492 7766984 15533968 31067936 62135872 124271744