Search a number
-
+
8999680 = 2857989
BaseRepresentation
bin100010010101…
…001100000000
3121221020020111
4202111030000
54300442210
6520521104
7136332064
oct42251400
917836214
108999680
115097658
123020194
131b31471
1412a3aa4
15bcb88a
hex895300

8999680 has 72 divisors (see below), whose sum is σ = 22075200. Its totient is φ = 3514368.

The previous prime is 8999671. The next prime is 8999687. The reversal of 8999680 is 869998.

It is not an unprimeable number, because it can be changed into a prime (8999687) 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, 101076 + ... + 101164.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 28999680 is an apocalyptic number.

8999680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037600).

8999680 is an abundant number, since it is smaller than the sum of its proper divisors (13075520).

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

8999680 is an equidigital number, since it uses as much as digits as its factorization.

8999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The square root of 8999680 is about 2999.9466661926. The cubic root of 8999680 is about 208.0059169914.

The spelling of 8999680 in words is "eight million, nine hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 89 128 158 160 178 256 316 320 356 395 445 632 640 712 790 890 1264 1280 1424 1580 1780 2528 2848 3160 3560 5056 5696 6320 7031 7120 10112 11392 12640 14062 14240 20224 22784 25280 28124 28480 35155 50560 56248 56960 70310 101120 112496 113920 140620 224992 281240 449984 562480 899968 1124960 1799936 2249920 4499840 8999680