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320000020 = 225109229641
BaseRepresentation
bin10011000100101…
…101000000010100
3211022010200111121
4103010231000110
51123410000040
651430413324
710633645444
oct2304550024
9738120447
10320000020
111546a482a
128b201244
13513b1232
14306dc124
151d15ec4a
hex1312d014

320000020 has 48 divisors (see below), whose sum is σ = 682189200. Its totient is φ = 126074880.

The previous prime is 319999969. The next prime is 320000077. The reversal of 320000020 is 20000023.

It can be written as a sum of positive squares in 8 ways, for example, as 80245764 + 239754256 = 8958^2 + 15484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 319999958 and 320000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498900 + ... + 499540.

It is an arithmetic number, because the mean of its divisors is an integer number (14212275).

Almost surely, 2320000020 is an apocalyptic number.

It is an amenable number.

320000020 is an abundant number, since it is smaller than the sum of its proper divisors (362189180).

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

320000020 is a wasteful number, since it uses less digits than its factorization.

320000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 320000020 is about 17888.5443790153. The cubic root of 320000020 is about 683.9903929205.

Adding to 320000020 its reverse (20000023), we get a palindrome (340000043).

It can be divided in two parts, 3200000 and 20, that multiplied together give a 6-th power (64000000 = 206).

The spelling of 320000020 in words is "three hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 109 218 229 436 458 545 641 916 1090 1145 1282 2180 2290 2564 3205 4580 6410 12820 24961 49922 69869 99844 124805 139738 146789 249610 279476 293578 349345 499220 587156 698690 733945 1397380 1467890 2935780 16000001 32000002 64000004 80000005 160000010 320000020