Search a number
-
+
9996980 = 225721012
BaseRepresentation
bin100110001000…
…101010110100
3200210220021112
4212020222310
510024400410
6554134152
7150654500
oct46105264
920726245
109996980
115708974
123421358
1320c0396
141483300
15d27105
hex988ab4

9996980 has 54 divisors (see below), whose sum is σ = 24665382. Its totient is φ = 3393600.

The previous prime is 9996979. The next prime is 9996991. The reversal of 9996980 is 896999.

It can be written as a sum of positive squares in 3 ways, for example, as 6210064 + 3786916 = 2492^2 + 1946^2 .

It is a congruent number.

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, 98930 + ... + 99030.

Almost surely, 29996980 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 9996980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332691).

9996980 is an abundant number, since it is smaller than the sum of its proper divisors (14668402).

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

9996980 is a wasteful number, since it uses less digits than its factorization.

9996980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 50.

The square root of 9996980 is about 3161.8001201847. The cubic root of 9996980 is about 215.4217788437.

It can be divided in two parts, 99 and 96980, that added together give a palindrome (97079).

The spelling of 9996980 in words is "nine million, nine hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9898 10201 14140 19796 20402 24745 40804 49490 51005 71407 98980 102010 142814 204020 285628 357035 499849 714070 999698 1428140 1999396 2499245 4998490 9996980