Search a number
-
+
671050072 = 2371110710181
BaseRepresentation
bin100111111111110…
…110100101011000
31201202200212122101
4213333312211120
52333242100242
6150330533144
722425555130
oct4777664530
91652625571
10671050072
11314876940
121688971b4
13a9044364
146519dac0
153dda49b7
hex27ff6958

671050072 has 64 divisors (see below), whose sum is σ = 1583504640. Its totient is φ = 258979200.

The previous prime is 671050043. The next prime is 671050123. The reversal of 671050072 is 270050176.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 671050072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60822 + ... + 71002.

It is an arithmetic number, because the mean of its divisors is an integer number (24742260).

Almost surely, 2671050072 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 671050072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791752320).

671050072 is an abundant number, since it is smaller than the sum of its proper divisors (912454568).

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

671050072 is a wasteful number, since it uses less digits than its factorization.

671050072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10312 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 671050072 is about 25904.6341800073. The cubic root of 671050072 is about 875.4909123352.

The spelling of 671050072 in words is "six hundred seventy-one million, fifty thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 107 154 214 308 428 616 749 856 1177 1498 2354 2996 4708 5992 8239 9416 10181 16478 20362 32956 40724 65912 71267 81448 111991 142534 223982 285068 447964 570136 783937 895928 1089367 1567874 2178734 3135748 4357468 6271496 7625569 8714936 11983037 15251138 23966074 30502276 47932148 61004552 83881259 95864296 167762518 335525036 671050072