Search a number
-
+
2139744 = 25331719
BaseRepresentation
bin1000001010011001100000
311000201011210
420022121200
51021432434
6113510120
724121215
oct10123140
94021153
102139744
111231692
12872340
1359bc29
143d9b0c
152c3ee9
hex20a660

2139744 has 48 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 689280.

The previous prime is 2139743. The next prime is 2139757. The reversal of 2139744 is 4479312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139743) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 2617 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22139744 is an apocalyptic number.

2139744 is a gapful number since it is divisible by the number (24) 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 2139744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2139744 is an abundant number, since it is smaller than the sum of its proper divisors (3666336).

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

2139744 is a wasteful number, since it uses less digits than its factorization.

2139744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2139744 is about 1462.7863822172. The cubic root of 2139744 is about 128.8607354724.

The spelling of 2139744 in words is "two million, one hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 719 744 992 1438 1488 2157 2876 2976 4314 5752 8628 11504 17256 22289 23008 34512 44578 66867 69024 89156 133734 178312 267468 356624 534936 713248 1069872 2139744