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1304200420 = 2253771103241
BaseRepresentation
bin100110110111100…
…1000010011100100
310100220002020122021
41031233020103210
510132333403140
6333225312524
744214343405
oct11557102344
93326066567
101304200420
1160a207096
12304935744
1317a278b33
14c52d59ac
157976eb4a
hex4dbc84e4

1304200420 has 96 divisors (see below), whose sum is σ = 2892105216. Its totient is φ = 493516800.

The previous prime is 1304200399. The next prime is 1304200421. The reversal of 1304200420 is 240024031.

It is a junction number, because it is equal to n+sod(n) for n = 1304200394 and 1304200403.

It is not an unprimeable number, because it can be changed into a prime (1304200421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5411500 + ... + 5411740.

It is an arithmetic number, because the mean of its divisors is an integer number (30126096).

Almost surely, 21304200420 is an apocalyptic number.

1304200420 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 1304200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446052608).

1304200420 is an abundant number, since it is smaller than the sum of its proper divisors (1587904796).

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

1304200420 is a wasteful number, since it uses less digits than its factorization.

1304200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1304200420 is about 36113.7151232049. The cubic root of 1304200420 is about 1092.5670830346.

Adding to 1304200420 its reverse (240024031), we get a palindrome (1544224451).

The spelling of 1304200420 in words is "one billion, three hundred four million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 71 74 103 142 148 185 206 241 284 355 370 412 482 515 710 740 964 1030 1205 1420 2060 2410 2627 3811 4820 5254 7313 7622 8917 10508 13135 14626 15244 17111 17834 19055 24823 26270 29252 34222 35668 36565 38110 44585 49646 52540 68444 73130 76220 85555 89170 99292 124115 146260 171110 178340 248230 270581 342220 496460 541162 633107 918451 1082324 1266214 1352905 1762433 1836902 2532428 2705810 3165535 3524866 3673804 4592255 5411620 6331070 7049732 8812165 9184510 12662140 17624330 18369020 35248660 65210021 130420042 260840084 326050105 652100210 1304200420