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8020980 = 22325114051
BaseRepresentation
bin11110100110001111110100
3120002111201100
4132212033310
54023132410
6443530100
7125114532
oct36461764
916074640
108020980
114589310
122829930
13187ab56
1410cb152
15a868c0
hex7a63f4

8020980 has 72 divisors (see below), whose sum is σ = 26548704. Its totient is φ = 1944000.

The previous prime is 8020963. The next prime is 8020981. The reversal of 8020980 is 890208.

8020980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×80209802 = 128672240320800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020981) 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, 46 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (368732).

Almost surely, 28020980 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 8020980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274352).

8020980 is an abundant number, since it is smaller than the sum of its proper divisors (18527724).

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

8020980 is a wasteful number, since it uses less digits than its factorization.

8020980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8020980 is about 2832.1334714310. The cubic root of 8020980 is about 200.1746807221.

The spelling of 8020980 in words is "eight million, twenty 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 4051 8102 12153 16204 20255 24306 36459 40510 44561 48612 60765 72918 81020 89122 121530 133683 145836 178244 182295 222805 243060 267366 364590 401049 445610 534732 668415 729180 802098 891220 1336830 1604196 2005245 2673660 4010490 8020980