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10027944 = 2332414379
BaseRepresentation
bin100110010000…
…001110101000
3200212110202100
4212100032220
510031343234
6554533400
7151143663
oct46201650
920773670
1010027944
11572a163
123437260
1321014c4
1414906da
15d31399
hex9903a8

10027944 has 96 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 3144960.

The previous prime is 10027921. The next prime is 10027949. The reversal of 10027944 is 44972001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10027949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126897 + ... + 126975.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 210027944 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 10027944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

10027944 is an abundant number, since it is smaller than the sum of its proper divisors (18800856).

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

10027944 is a wasteful number, since it uses less digits than its factorization.

10027944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10027944 is about 3166.6929121719. The cubic root of 10027944 is about 215.6439607775.

Adding to 10027944 its reverse (44972001), we get a palindrome (54999945).

The spelling of 10027944 in words is "ten million, twenty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 43 72 79 82 86 123 129 158 164 172 237 246 258 316 328 344 369 387 474 492 516 632 711 738 774 948 984 1032 1422 1476 1548 1763 1896 2844 2952 3096 3239 3397 3526 5289 5688 6478 6794 7052 9717 10191 10578 12956 13588 14104 15867 19434 20382 21156 25912 27176 29151 30573 31734 38868 40764 42312 58302 61146 63468 77736 81528 116604 122292 126936 139277 233208 244584 278554 417831 557108 835662 1114216 1253493 1671324 2506986 3342648 5013972 10027944