Search a number
-
+
2401302420 = 22325119711249
BaseRepresentation
bin1000111100100000…
…1111011110010100
320012100110210122200
42033020033132110
514404213134140
61034140124500
7113335506456
oct21710173624
96170423580
102401302420
111022522060
12570236730
132c365370a
1418acbc2d6
15e0c32030
hex8f20f794

2401302420 has 144 divisors (see below), whose sum is σ = 7960680000. Its totient is φ = 581068800.

The previous prime is 2401302401. The next prime is 2401302437. The reversal of 2401302420 is 242031042.

2401302420 is a `hidden beast` number, since 240 + 1 + 3 + 0 + 2 + 420 = 666.

2401302420 is digitally balanced in base 2, because in such base 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 2401302393 and 2401302402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921956 + ... + 1923204.

It is an arithmetic number, because the mean of its divisors is an integer number (55282500).

Almost surely, 22401302420 is an apocalyptic number.

2401302420 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 2401302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980340000).

2401302420 is an abundant number, since it is smaller than the sum of its proper divisors (5559377580).

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

2401302420 is a wasteful number, since it uses less digits than its factorization.

2401302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2401302420 is about 49003.0858212011. The cubic root of 2401302420 is about 1339.1080460516.

Adding to 2401302420 its reverse (242031042), we get a palindrome (2643333462).

The spelling of 2401302420 in words is "two billion, four hundred one million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 971 990 1249 1942 1980 2498 2913 3747 3884 4855 4996 5826 6245 7494 8739 9710 10681 11241 11652 12490 13739 14565 14988 17478 18735 19420 21362 22482 24980 27478 29130 32043 34956 37470 41217 42724 43695 44964 53405 54956 56205 58260 64086 68695 74940 82434 87390 96129 106810 112410 123651 128172 137390 160215 164868 174780 192258 206085 213620 224820 247302 274780 320430 384516 412170 480645 494604 618255 640860 824340 961290 1212779 1236510 1922580 2425558 2473020 3638337 4851116 6063895 7276674 10915011 12127790 13340569 14553348 18191685 21830022 24255580 26681138 36383370 40021707 43660044 53362276 54575055 66702845 72766740 80043414 109150110 120065121 133405690 160086828 200108535 218300220 240130242 266811380 400217070 480260484 600325605 800434140 1200651210 2401302420