Search a number
-
+
131048008 = 23713261227
BaseRepresentation
bin1111100111110…
…10001001001000
3100010120221001221
413303322021020
5232022014013
621000451424
73150614110
oct763721110
9303527057
10131048008
1167a78343
1237a79b74
13211c4800
1413594040
15b78908d
hex7cfa248

131048008 has 96 divisors (see below), whose sum is σ = 310426560. Its totient is φ = 50768640.

The previous prime is 131047991. The next prime is 131048039. The reversal of 131048008 is 800840131.

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, 577191 + ... + 577417.

It is an arithmetic number, because the mean of its divisors is an integer number (3233610).

Almost surely, 2131048008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131048008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155213280).

131048008 is an abundant number, since it is smaller than the sum of its proper divisors (179378552).

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

131048008 is a wasteful number, since it uses less digits than its factorization.

131048008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 131048008 is about 11447.6201893669. The cubic root of 131048008 is about 507.9373411464.

Adding to 131048008 its reverse (800840131), we get a palindrome (931888139).

It can be divided in two parts, 13104 and 8008, that added together give a palindrome (21112).

The spelling of 131048008 in words is "one hundred thirty-one million, forty-eight thousand, eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 169 182 227 244 338 364 427 454 488 676 728 793 854 908 1183 1352 1586 1589 1708 1816 2366 2951 3172 3178 3416 4732 5551 5902 6344 6356 9464 10309 11102 11804 12712 13847 20618 20657 22204 23608 27694 38363 41236 41314 44408 55388 72163 76726 82472 82628 96929 110776 144326 153452 165256 180011 193858 268541 288652 306904 360022 387716 537082 577304 720044 775432 1074164 1260077 1440088 2148328 2340143 2520154 4680286 5040308 9360572 10080616 16381001 18721144 32762002 65524004 131048008