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8812980 = 22325114451
BaseRepresentation
bin100001100111…
…100110110100
3121120202010200
4201213212310
54224003410
6512520500
7134623551
oct41474664
917522120
108812980
114a7a360
122b50130
131a974a7
141255a28
15b913c0
hex8679b4

8812980 has 72 divisors (see below), whose sum is σ = 29169504. Its totient is φ = 2136000.

The previous prime is 8812967. The next prime is 8812981. The reversal of 8812980 is 892188.

8812980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8812981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246 + ... + 4205.

It is an arithmetic number, because the mean of its divisors is an integer number (405132).

Almost surely, 28812980 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 8812980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584752).

8812980 is an abundant number, since it is smaller than the sum of its proper divisors (20356524).

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

8812980 is a wasteful number, since it uses less digits than its factorization.

8812980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8812980 is about 2968.6663672430. Note that the first 3 decimals coincide. The cubic root of 8812980 is about 206.5574807689.

It can be divided in two parts, 88129 and 80, that added together give a square (88209 = 2972).

The spelling of 8812980 in words is "eight million, eight hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4451 8902 13353 17804 22255 26706 40059 44510 48961 53412 66765 80118 89020 97922 133530 146883 160236 195844 200295 244805 267060 293766 400590 440649 489610 587532 734415 801180 881298 979220 1468830 1762596 2203245 2937660 4406490 8812980