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470141460 = 2232517153641
BaseRepresentation
bin11100000001011…
…100101000010100
31012202122122211200
4130001130220110
51430324011320
6114352432500
714436064545
oct3401345024
91182578750
10470141460
11221423268
12111548730
137652c619
14466224cc
152b41b290
hex1c05ca14

470141460 has 72 divisors (see below), whose sum is σ = 1509993576. Its totient is φ = 117995520.

The previous prime is 470141447. The next prime is 470141467. The reversal of 470141460 is 64141074.

470141460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 151733124 + 318408336 = 12318^2 + 17844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470141467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73761 + ... + 79880.

It is an arithmetic number, because the mean of its divisors is an integer number (20972133).

Almost surely, 2470141460 is an apocalyptic number.

It is an amenable number.

470141460 is an abundant number, since it is smaller than the sum of its proper divisors (1039852116).

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

470141460 is a wasteful number, since it uses less digits than its factorization.

470141460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153673 (or 153668 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 470141460 is about 21682.7456748448. The cubic root of 470141460 is about 777.5760053626.

The spelling of 470141460 in words is "four hundred seventy million, one hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 153641 307282 460923 614564 768205 921846 1382769 1536410 1843692 2304615 2611897 2765538 3072820 4609230 5223794 5531076 6913845 7835691 9218460 10447588 13059485 13827690 15671382 23507073 26118970 27655380 31342764 39178455 47014146 52237940 78356910 94028292 117535365 156713820 235070730 470141460