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320123020 = 225719151797
BaseRepresentation
bin10011000101001…
…011000010001100
3211022100221020011
4103011023002030
51123422414040
651433203004
710635000160
oct2305130214
9738327204
10320123020
11154779188
128b260464
1351425209
1430730ca0
151d1863ea
hex1314b08c

320123020 has 96 divisors (see below), whose sum is σ = 815109120. Its totient is φ = 103161600.

The previous prime is 320123017. The next prime is 320123047. The reversal of 320123020 is 20321023.

It is a happy number.

320123020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 401262 + ... + 402058.

It is an arithmetic number, because the mean of its divisors is an integer number (8490720).

Almost surely, 2320123020 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 320123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407554560).

320123020 is an abundant number, since it is smaller than the sum of its proper divisors (494986100).

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

320123020 is a wasteful number, since it uses less digits than its factorization.

320123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 320123020 is about 17891.9820031208. The cubic root of 320123020 is about 684.0780179581.

Adding to 320123020 its reverse (20321023), we get a palindrome (340444043).

The spelling of 320123020 in words is "three hundred twenty million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 151 190 266 302 380 532 604 665 755 797 1057 1330 1510 1594 2114 2660 2869 3020 3188 3985 4228 5285 5579 5738 7970 10570 11158 11476 14345 15143 15940 20083 21140 22316 27895 28690 30286 40166 55790 57380 60572 75715 80332 100415 106001 111580 120347 151430 200830 212002 240694 302860 401660 424004 481388 530005 601735 842429 1060010 1203470 1684858 2120020 2286593 2406940 3369716 4212145 4573186 8424290 9146372 11432965 16006151 16848580 22865930 32012302 45731860 64024604 80030755 160061510 320123020