Search a number
-
+
9726912 = 263313433
BaseRepresentation
bin100101000110…
…101111000000
3200022011211000
4211012233000
54442230122
6544252000
7145451226
oct45065700
920264730
109726912
115543a78
123311000
132027490
141412b16
15cc20ac
hex946bc0

9726912 has 112 divisors (see below), whose sum is σ = 30866080. Its totient is φ = 2985984.

The previous prime is 9726911. The next prime is 9726943. The reversal of 9726912 is 2196279.

It is a super-2 number, since 2×97269122 = 189225634111488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9726911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22248 + ... + 22680.

It is an arithmetic number, because the mean of its divisors is an integer number (275590).

Almost surely, 29726912 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 9726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15433040).

9726912 is an abundant number, since it is smaller than the sum of its proper divisors (21139168).

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

9726912 is a wasteful number, since it uses less digits than its factorization.

9726912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 9726912 is about 3118.7997691420. The cubic root of 9726912 is about 213.4641732102.

It can be divided in two parts, 972 and 6912, that multiplied together give a square (6718464 = 25922).

The spelling of 9726912 in words is "nine million, seven hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 433 468 576 624 702 832 864 866 936 1248 1299 1404 1728 1732 1872 2496 2598 2808 3464 3744 3897 5196 5616 5629 6928 7488 7794 10392 11232 11258 11691 13856 15588 16887 20784 22464 22516 23382 27712 31176 33774 41568 45032 46764 50661 62352 67548 83136 90064 93528 101322 124704 135096 151983 180128 187056 202644 249408 270192 303966 360256 374112 405288 540384 607932 748224 810576 1080768 1215864 1621152 2431728 3242304 4863456 9726912