Search a number
-
+
7148381220 = 223454412581
BaseRepresentation
bin1101010100001001…
…11010010000100100
3200110011221101120000
412222010322100210
5104114441144340
63141154341300
7342100144401
oct65204722044
920404841500
107148381220
113039090682
121475b8a830
1389bc89096
144bb5432a8
152bc878d30
hex1aa13a424

7148381220 has 60 divisors (see below), whose sum is σ = 22424741724. Its totient is φ = 1906234560.

The previous prime is 7148381159. The next prime is 7148381231. The reversal of 7148381220 is 221838417.

It can be written as a sum of positive squares in 2 ways, for example, as 867184704 + 6281196516 = 29448^2 + 79254^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2204671 + ... + 2207910.

Almost surely, 27148381220 is an apocalyptic number.

It is an amenable number.

7148381220 is an abundant number, since it is smaller than the sum of its proper divisors (15276360504).

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

7148381220 is a wasteful number, since it uses less digits than its factorization.

7148381220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412602 (or 4412591 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7148381220 is about 84548.1000377891. The cubic root of 7148381220 is about 1926.3531247591.

The spelling of 7148381220 in words is "seven billion, one hundred forty-eight million, three hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4412581 8825162 13237743 17650324 22062905 26475486 39713229 44125810 52950972 66188715 79426458 88251620 119139687 132377430 158852916 198566145 238279374 264754860 357419061 397132290 476558748 595698435 714838122 794264580 1191396870 1429676244 1787095305 2382793740 3574190610 7148381220