Search a number
-
+
1255480800 = 25352774731
BaseRepresentation
bin100101011010101…
…0001110111100000
310020111102000212220
41022311101313200
510032400341200
6324325151040
743053260610
oct11265216740
93214360786
101255480800
11594760342
122b055b480
1317014b462
14bca52a40
15753494a0
hex4ad51de0

1255480800 has 144 divisors (see below), whose sum is σ = 4670451072. Its totient is φ = 286963200.

The previous prime is 1255480777. The next prime is 1255480819. The reversal of 1255480800 is 80845521.

1255480800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 20566 + ... + 54165.

It is an arithmetic number, because the mean of its divisors is an integer number (32433688).

Almost surely, 21255480800 is an apocalyptic number.

1255480800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1255480800 is an abundant number, since it is smaller than the sum of its proper divisors (3414970272).

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

1255480800 is a wasteful number, since it uses less digits than its factorization.

1255480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74761 (or 74748 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 1255480800 is about 35432.7644984130. The cubic root of 1255480800 is about 1078.7894529606.

The spelling of 1255480800 in words is "one billion, two hundred fifty-five million, four hundred eighty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 74731 149462 224193 298924 373655 448386 523117 597848 747310 896772 1046234 1120965 1195696 1494620 1569351 1793544 1868275 2092468 2241930 2391392 2615585 2989240 3138702 3587088 3736550 4184936 4483860 5231170 5604825 5978480 6277404 7174176 7473100 7846755 8369872 8967720 10462340 11209650 11956960 12554808 13077925 14946200 15693510 16739744 17935440 20924680 22419300 25109616 26155850 29892400 31387020 35870880 39233775 41849360 44838600 50219232 52311700 59784800 62774040 78467550 83698720 89677200 104623400 125548080 156935100 179354400 209246800 251096160 313870200 418493600 627740400 1255480800