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2660393241 = 341125212
BaseRepresentation
bin1001111010010010…
…0110000100011001
320212101222222110000
42132210212010121
520422030040431
61115553243213
7122632653342
oct23644460431
96771888400
102660393241
1111457a4900
12622b63509
13335229bac
141b34830c9
1510885e9e6
hex9e926119

2660393241 has 45 divisors (see below), whose sum is σ = 4376700559. Its totient is φ = 1609264800.

The previous prime is 2660393207. The next prime is 2660393269. The reversal of 2660393241 is 1423930662.

The square root of 2660393241 is 51579.

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

2660393241 is a `hidden beast` number, since 2 + 6 + 603 + 9 + 3 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762919641 + 1897473600 = 27621^2 + 43560^2 .

It is not a de Polignac number, because 2660393241 - 29 = 2660392729 is a prime.

It is a super-3 number, since 3×26603932413 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2660393196 and 2660393205.

It is not an unprimeable number, because it can be changed into a prime (2660393201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5106061 + ... + 5106581.

Almost surely, 22660393241 is an apocalyptic number.

2660393241 is the 51579-th square number.

2660393241 is the 25790-th centered octagonal number.

It is an amenable number.

2660393241 is a deficient number, since it is larger than the sum of its proper divisors (1716307318).

2660393241 is an frugal number, since it uses more digits than its factorization.

2660393241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The cubic root of 2660393241 is about 1385.6342572364.

Multiplying 2660393241 by its sum of digits (36), we get a square (95774156676 = 3094742).

Multiplying 2660393241 by its product of nonzero digits (46656), we get a square (124123307052096 = 111410642).

The spelling of 2660393241 in words is "two billion, six hundred sixty million, three hundred ninety-three thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 521 891 1089 1563 3267 4689 5731 9801 14067 17193 42201 51579 63041 154737 189123 271441 464211 567369 814323 1702107 2442969 2985851 5106321 7328907 8957553 21986721 26872659 32844361 80617977 98533083 241853931 295599249 886797747 2660393241