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8768980 = 22511231733
BaseRepresentation
bin100001011100…
…110111010100
3121111111210001
4201130313110
54221101410
6511541044
7134351353
oct41346724
917444701
108768980
114a4a2a0
122b2a784
131a8045c
14124399a
15b8333a
hex85cdd4

8768980 has 48 divisors (see below), whose sum is σ = 20974464. Its totient is φ = 3048320.

The previous prime is 8768953. The next prime is 8768983. The reversal of 8768980 is 898678.

8768980 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 (46).

It is a self number, because there is not a number n which added to its sum of digits gives 8768980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4194 + ... + 5926.

It is an arithmetic number, because the mean of its divisors is an integer number (436968).

Almost surely, 28768980 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 8768980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10487232).

8768980 is an abundant number, since it is smaller than the sum of its proper divisors (12205484).

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

8768980 is a wasteful number, since it uses less digits than its factorization.

8768980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 8768980 is about 2961.2463592211. The cubic root of 8768980 is about 206.2131516663.

The spelling of 8768980 in words is "eight million, seven hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 1733 2530 3466 5060 6932 8665 17330 19063 34660 38126 39859 76252 79718 95315 159436 190630 199295 381260 398590 438449 797180 876898 1753796 2192245 4384490 8768980