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1204141320 = 233253790401
BaseRepresentation
bin100011111000101…
…1011110100001000
310002220210201100200
41013301123310020
54431230010240
6315252532200
741561014044
oct10761336410
93086721320
101204141320
11568785218
12297321060
13162614475
14b5ccb024
1570aa7930
hex47c5bd08

1204141320 has 96 divisors (see below), whose sum is σ = 4019272920. Its totient is φ = 312422400.

The previous prime is 1204141273. The next prime is 1204141343. The reversal of 1204141320 is 231414021.

1204141320 is a `hidden beast` number, since 1 + 204 + 141 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1047040164 + 157101156 = 32358^2 + 12534^2 .

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 = 1204141293 and 1204141302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31881 + ... + 58520.

Almost surely, 21204141320 is an apocalyptic number.

1204141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1204141320 is an abundant number, since it is smaller than the sum of its proper divisors (2815131600).

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

1204141320 is a wasteful number, since it uses less digits than its factorization.

1204141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90455 (or 90448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1204141320 is about 34700.7394733887. The cubic root of 1204141320 is about 1063.8796126064.

Adding to 1204141320 its reverse (231414021), we get a palindrome (1435555341).

It can be divided in two parts, 12041 and 41320, that added together give a square (53361 = 2312).

The spelling of 1204141320 in words is "one billion, two hundred four million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 90401 180802 271203 361604 452005 542406 723208 813609 904010 1084812 1356015 1627218 1808020 2169624 2712030 3254436 3344837 3616040 4068045 5424060 6508872 6689674 8136090 10034511 10848120 13379348 16272180 16724185 20069022 26758696 30103533 32544360 33448370 40138044 50172555 60207066 66896740 80276088 100345110 120414132 133793480 150517665 200690220 240828264 301035330 401380440 602070660 1204141320