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760160041 = 7923492
BaseRepresentation
bin101101010011110…
…001111100101001
31221222101010112121
4231103301330221
53024100110131
6203232511241
724560153014
oct5523617451
91858333477
10760160041
113600aa543
121926ab521
13c1644154
1472d5837b
1546b07911
hex2d4f1f29

760160041 has 9 divisors (see below), whose sum is σ = 772116471. Its totient is φ = 748387224.

The previous prime is 760160039. The next prime is 760160057. The reversal of 760160041 is 140061067.

It is a happy number.

The square root of 760160041 is 27571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 557951641 + 202208400 = 23621^2 + 14220^2 .

It is not a de Polignac number, because 760160041 - 21 = 760160039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 760159988 and 760160015.

It is not an unprimeable number, because it can be changed into a prime (760160081) 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 8 ways as a sum of consecutive naturals, for example, 2177935 + ... + 2178283.

It is an arithmetic number, because the mean of its divisors is an integer number (85790719).

Almost surely, 2760160041 is an apocalyptic number.

760160041 is the 27571-st square number.

760160041 is the 13786-th centered octagonal number.

It is an amenable number.

760160041 is a deficient number, since it is larger than the sum of its proper divisors (11956430).

760160041 is an frugal number, since it uses more digits than its factorization.

760160041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The cubic root of 760160041 is about 912.6445797307.

Multiplying 760160041 by its sum of digits (25), we get a square (19004001025 = 1378552).

It can be divided in two parts, 760 and 160041, that added together give a square (160801 = 4012).

The spelling of 760160041 in words is "seven hundred sixty million, one hundred sixty thousand, forty-one".

Divisors: 1 79 349 6241 27571 121801 2178109 9622279 760160041