Search a number
-
+
7131681120 = 253514857669
BaseRepresentation
bin1101010010001010…
…01101000101100000
3200102000111221022210
412221011031011200
5104101202243440
63135400402120
7341505201144
oct65105150540
920360457283
107131681120
11302a714643
121470476340
1389868c975
144b9237224
152bb17aa80
hex1a914d160

7131681120 has 48 divisors (see below), whose sum is σ = 22464797040. Its totient is φ = 1901781504.

The previous prime is 7131681097. The next prime is 7131681121. The reversal of 7131681120 is 211861317.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131681121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7428355 + ... + 7429314.

It is an arithmetic number, because the mean of its divisors is an integer number (468016605).

Almost surely, 27131681120 is an apocalyptic number.

It is an amenable number.

7131681120 is an abundant number, since it is smaller than the sum of its proper divisors (15333115920).

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

7131681120 is a wasteful number, since it uses less digits than its factorization.

7131681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14857687 (or 14857679 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 7131681120 is about 84449.2813468534. The cubic root of 7131681120 is about 1924.8518350009.

The spelling of 7131681120 in words is "seven billion, one hundred thirty-one million, six hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 14857669 29715338 44573007 59430676 74288345 89146014 118861352 148576690 178292028 222865035 237722704 297153380 356584056 445730070 475445408 594306760 713168112 891460140 1188613520 1426336224 1782920280 2377227040 3565840560 7131681120