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1320020220 = 2235127211821
BaseRepresentation
bin100111010101101…
…1110100011111100
310101222211222022210
41032223132203330
510200411121340
6334552340420
744465662311
oct11653364374
93358758283
101320020220
11618131802
1230a0a4710
1318062766c
14c7452d08
157ad47180
hex4eade8fc

1320020220 has 96 divisors (see below), whose sum is σ = 3747373056. Its totient is φ = 347155200.

The previous prime is 1320020213. The next prime is 1320020263. The reversal of 1320020220 is 220200231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1320020196 and 1320020205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607410 + ... + 1608230.

It is an arithmetic number, because the mean of its divisors is an integer number (39035136).

Almost surely, 21320020220 is an apocalyptic number.

1320020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873686528).

1320020220 is an abundant number, since it is smaller than the sum of its proper divisors (2427352836).

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

1320020220 is a wasteful number, since it uses less digits than its factorization.

1320020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1320020220 is about 36332.0825166959. The cubic root of 1320020220 is about 1096.9669116089.

Adding to 1320020220 its reverse (220200231), we get a palindrome (1540220451).

The spelling of 1320020220 in words is "one billion, three hundred twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 211 254 381 422 508 633 635 762 821 844 1055 1266 1270 1524 1642 1905 2110 2463 2532 2540 3165 3284 3810 4105 4220 4926 6330 7620 8210 9852 12315 12660 16420 24630 26797 49260 53594 80391 104267 107188 133985 160782 173231 208534 267970 312801 321564 346462 401955 417068 519693 521335 535940 625602 692924 803910 866155 1039386 1042670 1251204 1564005 1607820 1732310 2078772 2085340 2598465 3128010 3464620 5196930 6256020 10393860 22000337 44000674 66001011 88001348 110001685 132002022 220003370 264004044 330005055 440006740 660010110 1320020220