Search a number
-
+
10084944 = 243172727
BaseRepresentation
bin100110011110…
…001001010000
3200222100221110
4212132021100
510040204234
61000053320
7151502112
oct46361120
920870843
1010084944
115768a71
123464240
13212142c
1414a73b2
15d431e9
hex99e250

10084944 has 60 divisors (see below), whose sum is σ = 27713504. Its totient is φ = 3159552.

The previous prime is 10084913. The next prime is 10084957. The reversal of 10084944 is 44948001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13509 + ... + 14235.

Almost surely, 210084944 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 10084944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856752).

10084944 is an abundant number, since it is smaller than the sum of its proper divisors (17628560).

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

10084944 is a wasteful number, since it uses less digits than its factorization.

10084944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10084944 is about 3175.6800846433. The cubic root of 10084944 is about 216.0517708553.

The spelling of 10084944 in words is "ten million, eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 727 816 867 1156 1454 1734 2181 2312 2908 3468 4362 4624 5816 6936 8724 11632 12359 13872 17448 24718 34896 37077 49436 74154 98872 148308 197744 210103 296616 420206 593232 630309 840412 1260618 1680824 2521236 3361648 5042472 10084944