[go: up one dir, main page]

Search a number
-
+
9912744 = 233237612
BaseRepresentation
bin100101110100…
…000110101000
3200122121201200
4211310012220
510014201434
6552244200
7150154062
oct45640650
920577650
109912744
115660656
1233a0660
132090c3a
141460732
15d0c199
hex9741a8

9912744 has 72 divisors (see below), whose sum is σ = 28032030. Its totient is φ = 3162240.

The previous prime is 9912719. The next prime is 9912757. The reversal of 9912744 is 4472199.

It can be written as a sum of positive squares in 3 ways, for example, as 5116644 + 4796100 = 2262^2 + 2190^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 9912699 and 9912708.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 162474 + ... + 162534.

Almost surely, 29912744 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 9912744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016015).

9912744 is an abundant number, since it is smaller than the sum of its proper divisors (18119286).

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

9912744 is a wasteful number, since it uses less digits than its factorization.

9912744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 103 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9912744 is about 3148.4510477376. The cubic root of 9912744 is about 214.8150130472.

The spelling of 9912744 in words is "nine million, nine hundred twelve thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 61 72 74 111 122 148 183 222 244 296 333 366 444 488 549 666 732 888 1098 1332 1464 2196 2257 2664 3721 4392 4514 6771 7442 9028 11163 13542 14884 18056 20313 22326 27084 29768 33489 40626 44652 54168 66978 81252 89304 133956 137677 162504 267912 275354 413031 550708 826062 1101416 1239093 1652124 2478186 3304248 4956372 9912744