Search a number
-
+
1482320880 = 243255034093
BaseRepresentation
bin101100001011010…
…0110101111110000
310211022020200222100
41120112212233300
511013433232010
6403031140400
751506343135
oct13026465760
93738220870
101482320880
116a0805687
12354514700
131a8142361
14100c2058c
158a2062c0
hex585a6bf0

1482320880 has 120 divisors (see below), whose sum is σ = 4989243168. Its totient is φ = 394403328.

The previous prime is 1482320809. The next prime is 1482320927. The reversal of 1482320880 is 880232841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 360114 + ... + 364206.

Almost surely, 21482320880 is an apocalyptic number.

1482320880 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 1482320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494621584).

1482320880 is an abundant number, since it is smaller than the sum of its proper divisors (3506922288).

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

1482320880 is a wasteful number, since it uses less digits than its factorization.

1482320880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1482320880 is about 38500.9205084762. The cubic root of 1482320880 is about 1140.1992264923.

The spelling of 1482320880 in words is "one billion, four hundred eighty-two million, three hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 503 720 1006 1509 2012 2515 3018 4024 4093 4527 5030 6036 7545 8048 8186 9054 10060 12072 12279 15090 16372 18108 20120 20465 22635 24144 24558 30180 32744 36216 36837 40240 40930 45270 49116 60360 61395 65488 72432 73674 81860 90540 98232 120720 122790 147348 163720 181080 184185 196464 245580 294696 327440 362160 368370 491160 589392 736740 982320 1473480 2058779 2946960 4117558 6176337 8235116 10293895 12352674 16470232 18529011 20587790 24705348 30881685 32940464 37058022 41175580 49410696 61763370 74116044 82351160 92645055 98821392 123526740 148232088 164702320 185290110 247053480 296464176 370580220 494106960 741160440 1482320880