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981705220 = 225537611217
BaseRepresentation
bin111010100000111…
…010001000000100
32112102020210101121
4322200322020010
54002304031340
6241225203324
733220233226
oct7240721004
92472223347
10981705220
11464168731
12234930544
13128502c82
1494548416
155b2ba94a
hex3a83a204

981705220 has 48 divisors (see below), whose sum is σ = 2104967088. Its totient is φ = 384450560.

The previous prime is 981705211. The next prime is 981705227. The reversal of 981705220 is 22507189.

It can be written as a sum of positive squares in 8 ways, for example, as 154107396 + 827597824 = 12414^2 + 28768^2 .

It is not an unprimeable number, because it can be changed into a prime (981705227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806052 + ... + 807268.

It is an arithmetic number, because the mean of its divisors is an integer number (43853481).

Almost surely, 2981705220 is an apocalyptic number.

It is an amenable number.

981705220 is an abundant number, since it is smaller than the sum of its proper divisors (1123261868).

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

981705220 is a wasteful number, since it uses less digits than its factorization.

981705220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 981705220 is about 31332.1754750608. The cubic root of 981705220 is about 993.8641685742.

The spelling of 981705220 in words is "nine hundred eighty-one million, seven hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 761 1060 1217 1522 2434 3044 3805 4868 6085 7610 12170 15220 24340 40333 64501 80666 129002 161332 201665 258004 322505 403330 645010 806660 926137 1290020 1852274 3704548 4630685 9261370 18522740 49085261 98170522 196341044 245426305 490852610 981705220