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9996984 = 2332433229
BaseRepresentation
bin100110001000…
…101010111000
3200210220021200
4212020222320
510024400414
6554134200
7150654504
oct46105270
920726250
109996984
115708978
123421360
1320c039a
141483304
15d27109
hex988ab8

9996984 has 48 divisors (see below), whose sum is σ = 27713400. Its totient is φ = 3253824.

The previous prime is 9996979. The next prime is 9996991. The reversal of 9996984 is 4896999.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9996984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482 + ... + 4710.

Almost surely, 29996984 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 9996984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856700).

9996984 is an abundant number, since it is smaller than the sum of its proper divisors (17716416).

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

9996984 is a wasteful number, since it uses less digits than its factorization.

9996984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3277 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9996984 is about 3161.8007527357. The cubic root of 9996984 is about 215.4218075753.

The spelling of 9996984 in words is "nine million, nine hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 3229 6458 9687 12916 19374 25832 29061 38748 58122 77496 116244 138847 232488 277694 416541 555388 833082 1110776 1249623 1666164 2499246 3332328 4998492 9996984