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2114944 = 27133141
BaseRepresentation
bin1000000100010110000000
310222110011021
420010112000
51020134234
6113155224
723656006
oct10042600
93873137
102114944
111214a97
1285bb14
13590860
143d0a76
152bb9b4
hex204580

2114944 has 64 divisors (see below), whose sum is σ = 4798080. Its totient is φ = 921600.

The previous prime is 2114933. The next prime is 2114951. The reversal of 2114944 is 4494112.

2114944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51564 + ... + 51604.

It is an arithmetic number, because the mean of its divisors is an integer number (74970).

22114944 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 2114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399040).

2114944 is an abundant number, since it is smaller than the sum of its proper divisors (2683136).

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

2114944 is a wasteful number, since it uses less digits than its factorization.

2114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 2114944 is about 1454.2847039009. The cubic root of 2114944 is about 128.3609603009.

The spelling of 2114944 in words is "two million, one hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 41 52 62 64 82 104 124 128 164 208 248 328 403 416 496 533 656 806 832 992 1066 1271 1312 1612 1664 1984 2132 2542 2624 3224 3968 4264 5084 5248 6448 8528 10168 12896 16523 17056 20336 25792 33046 34112 40672 51584 66092 68224 81344 132184 162688 264368 528736 1057472 2114944