Search a number
-
+
460753761 = 31311814199
BaseRepresentation
bin11011011101101…
…000101101100001
31012002222201100010
4123131220231201
51420423110021
6113415315133
714263225266
oct3335505541
91162881303
10460753761
112170a1136
1210a37baa9
13745c3680
144529b26d
152a6b4976
hex1b768b61

460753761 has 8 divisors (see below), whose sum is σ = 661595200. Its totient is φ = 283540752.

The previous prime is 460753759. The next prime is 460753807. The reversal of 460753761 is 167357064.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 460753761 - 21 = 460753759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 11814199 = 460753761 / (4 + 6 + 0 + 7 + 5 + 3 + 7 + 6 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (460753721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5907061 + ... + 5907138.

It is an arithmetic number, because the mean of its divisors is an integer number (82699400).

Almost surely, 2460753761 is an apocalyptic number.

It is an amenable number.

460753761 is a deficient number, since it is larger than the sum of its proper divisors (200841439).

460753761 is a wasteful number, since it uses less digits than its factorization.

460753761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11814215.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 460753761 is about 21465.1755408615. The cubic root of 460753761 is about 772.3656715983.

The spelling of 460753761 in words is "four hundred sixty million, seven hundred fifty-three thousand, seven hundred sixty-one".

Divisors: 1 3 13 39 11814199 35442597 153584587 460753761