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320021020 = 225111937537
BaseRepresentation
bin10011000100110…
…010001000011100
3211022011202022101
4103010302020130
51123411133040
651431054444
710634063614
oct2304621034
9738152271
10320021020
11154709590
128b211424
13513ba967
1430705a44
151d16609a
hex1313221c

320021020 has 48 divisors (see below), whose sum is σ = 737035488. Its totient is φ = 115752960.

The previous prime is 320021017. The next prime is 320021027. The reversal of 320021020 is 20120023.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 320020988 and 320021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320021027) 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, 38692 + ... + 46228.

It is an arithmetic number, because the mean of its divisors is an integer number (15354906).

Almost surely, 2320021020 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 320021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368517744).

320021020 is an abundant number, since it is smaller than the sum of its proper divisors (417014468).

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

320021020 is a wasteful number, since it uses less digits than its factorization.

320021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 320021020 is about 17889.1313372114. The cubic root of 320021020 is about 684.0053548821.

Adding to 320021020 its reverse (20120023), we get a palindrome (340141043).

The spelling of 320021020 in words is "three hundred twenty million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 7537 8492 10615 15074 21230 30148 37685 42460 75370 82907 150740 165814 331628 414535 829070 1454641 1658140 2909282 5818564 7273205 14546410 16001051 29092820 32002102 64004204 80005255 160010510 320021020