Search a number
-
+
9990656 = 29131979
BaseRepresentation
bin100110000111…
…001000000000
3200210120121022
4212013020000
510024200111
6554045012
7150630164
oct46071000
920716538
109990656
115704145
123419768
1320ba540
141480ca4
15d252db
hex987200

9990656 has 80 divisors (see below), whose sum is σ = 22915200. Its totient is φ = 4313088.

The previous prime is 9990653. The next prime is 9990661. The reversal of 9990656 is 6560999.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990653) 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, 126425 + ... + 126503.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 29990656 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 9990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457600).

9990656 is an abundant number, since it is smaller than the sum of its proper divisors (12924544).

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

9990656 is a wasteful number, since it uses less digits than its factorization.

9990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 44.

The square root of 9990656 is about 3160.7998987598. The cubic root of 9990656 is about 215.3763446327.

The spelling of 9990656 in words is "nine million, nine hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 79 104 128 152 158 208 247 256 304 316 416 494 512 608 632 832 988 1027 1216 1264 1501 1664 1976 2054 2432 2528 3002 3328 3952 4108 4864 5056 6004 6656 7904 8216 9728 10112 12008 15808 16432 19513 20224 24016 31616 32864 39026 40448 48032 63232 65728 78052 96064 126464 131456 156104 192128 262912 312208 384256 525824 624416 768512 1248832 2497664 4995328 9990656