Search a number
-
+
9930924 = 223517601
BaseRepresentation
bin100101111000…
…100010101100
3200200112200000
4211320202230
510020242144
6552504300
7150261063
oct45704254
920615600
109930924
115673283
1233ab090
1320992b3
1414671da
15d12769
hex9788ac

9930924 has 72 divisors (see below), whose sum is σ = 27610128. Its totient is φ = 3110400.

The previous prime is 9930923. The next prime is 9930931. The reversal of 9930924 is 4290399.

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

It is not an unprimeable number, because it can be changed into a prime (9930923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16224 + ... + 16824.

It is an arithmetic number, because the mean of its divisors is an integer number (383474).

Almost surely, 29930924 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 9930924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805064).

9930924 is an abundant number, since it is smaller than the sum of its proper divisors (17679204).

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

9930924 is a wasteful number, since it uses less digits than its factorization.

9930924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9930924 is about 3151.3368591758. The cubic root of 9930924 is about 214.9462566228.

The spelling of 9930924 in words is "nine million, nine hundred thirty thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 601 612 918 972 1202 1377 1803 1836 2404 2754 3606 4131 5409 5508 7212 8262 10217 10818 16227 16524 20434 21636 30651 32454 40868 48681 61302 64908 91953 97362 122604 146043 183906 194724 275859 292086 367812 551718 584172 827577 1103436 1655154 2482731 3310308 4965462 9930924