Search a number
-
+
9930528 = 253229241
BaseRepresentation
bin100101111000…
…011100100000
3200200112010100
4211320130200
510020234103
6552502400
7150256656
oct45703440
920615110
109930528
115672a53
1233aaa00
13209906a
141466dd6
15d125a3
hex978720

9930528 has 108 divisors (see below), whose sum is σ = 29960658. Its totient is φ = 3118080.

The previous prime is 9930527. The next prime is 9930581. The reversal of 9930528 is 8250399.

It can be written as a sum of positive squares in 3 ways, for example, as 6290064 + 3640464 = 2508^2 + 1908^2 .

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

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 9930492 and 9930501.

It is not an unprimeable number, because it can be changed into a prime (9930523) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242188 + ... + 242228.

Almost surely, 29930528 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 9930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980329).

9930528 is an abundant number, since it is smaller than the sum of its proper divisors (20030130).

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

9930528 is a wasteful number, since it uses less digits than its factorization.

9930528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9930528 is about 3151.2740280718. The cubic root of 9930528 is about 214.9433995591.

The spelling of 9930528 in words is "nine million, nine hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 41 48 58 72 82 87 96 116 123 144 164 174 232 246 261 288 328 348 369 464 492 522 656 696 738 841 928 984 1044 1189 1312 1392 1476 1682 1968 2088 2378 2523 2784 2952 3364 3567 3936 4176 4756 5046 5904 6728 7134 7569 8352 9512 10092 10701 11808 13456 14268 15138 19024 20184 21402 26912 28536 30276 34481 38048 40368 42804 57072 60552 68962 80736 85608 103443 114144 121104 137924 171216 206886 242208 275848 310329 342432 413772 551696 620658 827544 1103392 1241316 1655088 2482632 3310176 4965264 9930528