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9996976 = 241179719
BaseRepresentation
bin100110001000…
…101010110000
3200210220021101
4212020222300
510024400401
6554134144
7150654463
oct46105260
920726241
109996976
115708970
123421354
1320c0392
1414832da
15d27101
hex988ab0

9996976 has 40 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 4480320.

The previous prime is 9996949. The next prime is 9996979. The reversal of 9996976 is 6796999.

It is not an unprimeable number, because it can be changed into a prime (9996979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13545 + ... + 14263.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 29996976 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 9996976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

9996976 is an abundant number, since it is smaller than the sum of its proper divisors (11430224).

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

9996976 is a wasteful number, since it uses less digits than its factorization.

9996976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 55.

The square root of 9996976 is about 3161.7994876336. The cubic root of 9996976 is about 215.4217501121.

The spelling of 9996976 in words is "nine million, nine hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 719 869 1264 1438 1738 2876 3476 5752 6952 7909 11504 13904 15818 31636 56801 63272 113602 126544 227204 454408 624811 908816 1249622 2499244 4998488 9996976