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2020311420 = 2235194493947
BaseRepresentation
bin111100001101011…
…1000000101111100
312012210120110020220
41320122320011330
513114144431140
6532250141340
7101031235521
oct17032700574
95183513226
102020311420
1194745a966
12484721850
1326273945a
14152465148
15bc575bd0
hex786b817c

2020311420 has 96 divisors (see below), whose sum is σ = 5969376000. Its totient is φ = 509128704.

The previous prime is 2020311373. The next prime is 2020311431. The reversal of 2020311420 is 241130202.

2020311420 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2020311420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509887 + ... + 513833.

It is an arithmetic number, because the mean of its divisors is an integer number (62181000).

Almost surely, 22020311420 is an apocalyptic number.

2020311420 is a gapful number since it is divisible by the number (20) 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 2020311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984688000).

2020311420 is an abundant number, since it is smaller than the sum of its proper divisors (3949064580).

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

2020311420 is a wasteful number, since it uses less digits than its factorization.

2020311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2020311420 is about 44947.8744769984. The cubic root of 2020311420 is about 1264.1718232678.

Adding to 2020311420 its reverse (241130202), we get a palindrome (2261441622).

The spelling of 2020311420 in words is "two billion, twenty million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 449 570 898 1140 1347 1796 2245 2694 3947 4490 5388 6735 7894 8531 8980 11841 13470 15788 17062 19735 23682 25593 26940 34124 39470 42655 47364 51186 59205 74993 78940 85310 102372 118410 127965 149986 170620 224979 236820 255930 299972 374965 449958 511860 749930 899916 1124895 1499860 1772203 2249790 3544406 4499580 5316609 7088812 8861015 10633218 17722030 21266436 26583045 33671857 35444060 53166090 67343714 101015571 106332180 134687428 168359285 202031142 336718570 404062284 505077855 673437140 1010155710 2020311420