Search a number
-
+
7061041760 = 255359122929
BaseRepresentation
bin1101001001101111…
…01111001001100000
3200020002121002100012
412210313233021200
5103430111314020
63124354344052
7336656602403
oct64467571140
920202532305
107061041760
112aa3857203
12145088b028
13886b59126
144adac9d3a
152b4d757c5
hex1a4def260

7061041760 has 48 divisors (see below), whose sum is σ = 16728314400. Its totient is φ = 2816526336.

The previous prime is 7061041751. The next prime is 7061041769. The reversal of 7061041760 is 671401607.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7061041751) and next prime (7061041769).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7061041769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4025 + ... + 118904.

It is an arithmetic number, because the mean of its divisors is an integer number (348506550).

Almost surely, 27061041760 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 7061041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364157200).

7061041760 is an abundant number, since it is smaller than the sum of its proper divisors (9667272640).

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

7061041760 is a wasteful number, since it uses less digits than its factorization.

7061041760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123303 (or 123295 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 7061041760 is about 84030.0051172199. The cubic root of 7061041760 is about 1918.4755115133.

The spelling of 7061041760 in words is "seven billion, sixty-one million, forty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 718 1436 1795 2872 3590 5744 7180 11488 14360 28720 57440 122929 245858 491716 614645 983432 1229290 1966864 2458580 3933728 4917160 9834320 19668640 44131511 88263022 176526044 220657555 353052088 441315110 706104176 882630220 1412208352 1765260440 3530520880 7061041760