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6073240761 = 347212372
BaseRepresentation
bin1011010011111111…
…00100110010111001
3120200020212121010000
411221333210302321
544414222201021
62442350343213
7303333460200
oct55177446271
916606777100
106073240761
112637205745
121215abab09
1375a3006b3
14418836237
152582a3b26
hex169fe4cb9

6073240761 has 45 divisors (see below), whose sum is σ = 10562114079. Its totient is φ = 3467617776.

The previous prime is 6073240741. The next prime is 6073240801. The reversal of 6073240761 is 1670423706.

Multipling 6073240761 by its sum of digits (36), we get a square (218636667396 = 4675862).

The square root of 6073240761 is 77931.

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

6073240761 is a `hidden beast` number, since 607 + 3 + 2 + 40 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4586675625 + 1486565136 = 67725^2 + 38556^2 .

It is not a de Polignac number, because 6073240761 - 29 = 6073240249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6073240741) 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, 4909035 + ... + 4910271.

Almost surely, 26073240761 is an apocalyptic number.

6073240761 is the 77931-st square number.

6073240761 is the 38966-th centered octagonal number.

It is an amenable number.

6073240761 is a deficient number, since it is larger than the sum of its proper divisors (4488873318).

6073240761 is an frugal number, since it uses more digits than its factorization.

6073240761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The cubic root of 6073240761 is about 1824.4844492072.

The spelling of 6073240761 in words is "six billion, seventy-three million, two hundred forty thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1237 1323 3711 3969 8659 11133 25977 33399 60613 77931 100197 181839 233793 545517 701379 1530169 1636551 4590507 4909653 10711183 13771521 32133549 41314563 74978281 96400647 123943689 224934843 289201941 674804529 867605823 2024413587 6073240761