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1965060241 = 9724572
BaseRepresentation
bin111010100100000…
…0111000010010001
312001221121101212221
41311020013002101
513011023411431
6522554021041
766460510414
oct16510070221
95057541787
101965060241
11919252931
1246a117781
13254162b51
14148da1b7b
15b77b0111
hex75207091

1965060241 has 9 divisors (see below), whose sum is σ = 1989881649. Its totient is φ = 1940546304.

The previous prime is 1965060211. The next prime is 1965060247. The reversal of 1965060241 is 1420605691.

The square root of 1965060241 is 44329.

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

It can be written as a sum of positive squares in 4 ways, for example, as 241149841 + 1723910400 = 15529^2 + 41520^2 .

It is not a de Polignac number, because 1965060241 - 29 = 1965059729 is a prime.

It is a super-2 number, since 2×19650602412 = 7722923501517956162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1965060197 and 1965060206.

It is not an unprimeable number, because it can be changed into a prime (1965060247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4299685 + ... + 4300141.

It is an arithmetic number, because the mean of its divisors is an integer number (221097961).

Almost surely, 21965060241 is an apocalyptic number.

1965060241 is the 44329-th square number.

1965060241 is the 22165-th centered octagonal number.

It is an amenable number.

1965060241 is a deficient number, since it is larger than the sum of its proper divisors (24821408).

1965060241 is an frugal number, since it uses more digits than its factorization.

1965060241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 1965060241 is about 1252.5410158374.

The spelling of 1965060241 in words is "one billion, nine hundred sixty-five million, sixty thousand, two hundred forty-one".

Divisors: 1 97 457 9409 44329 208849 4299913 20258353 1965060241