Search a number
-
+
460331740 = 2251110120717
BaseRepresentation
bin11011011100000…
…001101011011100
31012002012021102201
4123130001223130
51420321103430
6113402301244
714256520021
oct3334015334
91162167381
10460331740
11216933060
1210a1b7824
13744a655b
14451cb548
152a62e8ca
hex1b701adc

460331740 has 48 divisors (see below), whose sum is σ = 1065070944. Its totient is φ = 165728000.

The previous prime is 460331717. The next prime is 460331749. The reversal of 460331740 is 47133064.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 460331699 and 460331708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460331749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11862 + ... + 32578.

It is an arithmetic number, because the mean of its divisors is an integer number (22188978).

Almost surely, 2460331740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460331740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532535472).

460331740 is an abundant number, since it is smaller than the sum of its proper divisors (604739204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460331740 is a wasteful number, since it uses less digits than its factorization.

460331740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20838 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 460331740 is about 21455.3429243161. The cubic root of 460331740 is about 772.1297870332.

The spelling of 460331740 in words is "four hundred sixty million, three hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 20717 22220 41434 82868 103585 207170 227887 414340 455774 911548 1139435 2092417 2278870 4184834 4557740 8369668 10462085 20924170 23016587 41848340 46033174 92066348 115082935 230165870 460331740