Search a number
-
+
2480130090 = 23456834483
BaseRepresentation
bin1001001111010011…
…1100100000101010
320101211210122220000
42103310330200222
520034403130330
61050033443430
7115313520654
oct22364744052
96354718800
102480130090
111062a72499
12592710576
13306a932c9
1419755b6d4
15e7b03560
hex93d3c82a

2480130090 has 80 divisors (see below), whose sum is σ = 6680047968. Its totient is φ = 660252384.

The previous prime is 2480130073. The next prime is 2480130101. The reversal of 2480130090 is 900310842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 550989 + ... + 555471.

Almost surely, 22480130090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2480130090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340023984).

2480130090 is an abundant number, since it is smaller than the sum of its proper divisors (4199917878).

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

2480130090 is a wasteful number, since it uses less digits than its factorization.

2480130090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2480130090 is about 49800.9045098581. The cubic root of 2480130090 is about 1353.6035576431.

The spelling of 2480130090 in words is "two billion, four hundred eighty million, one hundred thirty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 683 810 1366 2049 3415 4098 4483 6147 6830 8966 10245 12294 13449 18441 20490 22415 26898 30735 36882 40347 44830 55323 61470 67245 80694 92205 110646 121041 134490 184410 201735 242082 276615 363123 403470 553230 605205 726246 1210410 1815615 3061889 3631230 6123778 9185667 15309445 18371334 27557001 30618890 45928335 55114002 82671003 91856670 137785005 165342006 248013009 275570010 413355015 496026018 826710030 1240065045 2480130090