Search a number
-
+
8821980 = 2233517312
BaseRepresentation
bin100001101001…
…110011011100
3121121012111000
4201221303130
54224300410
6513030300
7134662026
oct41516334
917535430
108821980
114a860a2
122b55390
131a9b60b
141259016
15b93dc0
hex869cdc

8821980 has 144 divisors (see below), whose sum is σ = 30028320. Its totient is φ = 2142720.

The previous prime is 8821979. The next prime is 8821991. The reversal of 8821980 is 891288.

8821980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×88219802 = 155654662240800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284565 + ... + 284595.

It is an arithmetic number, because the mean of its divisors is an integer number (208530).

Almost surely, 28821980 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 8821980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014160).

8821980 is an abundant number, since it is smaller than the sum of its proper divisors (21206340).

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

8821980 is a wasteful number, since it uses less digits than its factorization.

8821980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

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

The square root of 8821980 is about 2970.1818126169. The cubic root of 8821980 is about 206.6277704577.

It can be divided in two parts, 8821 and 980, that added together give a square (9801 = 992).

The spelling of 8821980 in words is "eight million, eight hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 31 34 36 45 51 54 60 62 68 85 90 93 102 108 124 135 153 155 170 180 186 204 255 270 279 306 310 340 372 459 465 510 527 540 558 612 620 765 837 918 930 961 1020 1054 1116 1395 1530 1581 1674 1836 1860 1922 2108 2295 2635 2790 2883 3060 3162 3348 3844 4185 4590 4743 4805 5270 5580 5766 6324 7905 8370 8649 9180 9486 9610 10540 11532 14229 14415 15810 16337 16740 17298 18972 19220 23715 25947 28458 28830 31620 32674 34596 43245 47430 49011 51894 56916 57660 65348 71145 81685 86490 94860 98022 103788 129735 142290 147033 163370 172980 196044 245055 259470 284580 294066 326740 441099 490110 518940 588132 735165 882198 980220 1470330 1764396 2205495 2940660 4410990 8821980