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460427130 = 232541124777
BaseRepresentation
bin11011011100011…
…000111101111010
31012002101010021200
4123130120331322
51420332132010
6113404315030
714260365102
oct3334307572
91162333250
10460427130
11216998799
1210a242a76
137450aab7
1445214202
152a64ccc0
hex1b718f7a

460427130 has 48 divisors (see below), whose sum is σ = 1226318184. Its totient is φ = 119784960.

The previous prime is 460427111. The next prime is 460427131. The reversal of 460427130 is 31724064.

460427130 is a `hidden beast` number, since 4 + 604 + 27 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 284360769 + 176066361 = 16863^2 + 13269^2 .

It is a junction number, because it is equal to n+sod(n) for n = 460427094 and 460427103.

It is not an unprimeable number, because it can be changed into a prime (460427131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58699 + ... + 66078.

Almost surely, 2460427130 is an apocalyptic number.

460427130 is an abundant number, since it is smaller than the sum of its proper divisors (765891054).

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

460427130 is a wasteful number, since it uses less digits than its factorization.

460427130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124831 (or 124828 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 460427130 is about 21457.5657985709. The cubic root of 460427130 is about 772.1831169596.

The spelling of 460427130 in words is "four hundred sixty million, four hundred twenty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 124777 249554 374331 623885 748662 1122993 1247770 1871655 2245986 3743310 5115857 5614965 10231714 11229930 15347571 25579285 30695142 46042713 51158570 76737855 92085426 153475710 230213565 460427130