Search a number
-
+
9980176 = 2429137157
BaseRepresentation
bin100110000100…
…100100010000
3200210001020011
4212010210100
510023331201
6553524304
7150554503
oct46044420
920701204
109980176
1156a7288
123413694
1320b583b
14147b13a
15d22151
hex984910

9980176 has 40 divisors (see below), whose sum is σ = 20277720. Its totient is φ = 4752384.

The previous prime is 9980167. The next prime is 9980177. The reversal of 9980176 is 6710899.

It can be written as a sum of positive squares in 4 ways, for example, as 1123600 + 8856576 = 1060^2 + 2976^2 .

It is not an unprimeable number, because it can be changed into a prime (9980177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63490 + ... + 63646.

It is an arithmetic number, because the mean of its divisors is an integer number (506943).

Almost surely, 29980176 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 9980176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10138860).

9980176 is an abundant number, since it is smaller than the sum of its proper divisors (10297544).

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

9980176 is a wasteful number, since it uses less digits than its factorization.

9980176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 9980176 is about 3159.1416555767. The cubic root of 9980176 is about 215.3010097803.

The spelling of 9980176 in words is "nine million, nine hundred eighty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 137 157 232 274 314 464 548 628 1096 1256 2192 2512 3973 4553 7946 9106 15892 18212 21509 31784 36424 43018 63568 72848 86036 172072 344144 623761 1247522 2495044 4990088 9980176