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460500036 = 223197128447
BaseRepresentation
bin11011011100101…
…010110001000100
31012002111211021220
4123130222301010
51420342000121
6113410040340
714261120463
oct3334526104
91162454256
10460500036
11216a38547
1210a2790b0
1374535039
14452329da
152a6646c6
hex1b72ac44

460500036 has 48 divisors (see below), whose sum is σ = 1147023360. Its totient is φ = 143367840.

The previous prime is 460500013. The next prime is 460500049. The reversal of 460500036 is 630005064.

It is a junction number, because it is equal to n+sod(n) for n = 460499979 and 460500015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1965 + ... + 30411.

It is an arithmetic number, because the mean of its divisors is an integer number (23896320).

Almost surely, 2460500036 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 460500036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573511680).

460500036 is an abundant number, since it is smaller than the sum of its proper divisors (686523324).

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

460500036 is a wasteful number, since it uses less digits than its factorization.

460500036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28544 (or 28542 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 460500036 is about 21459.2645726735. The cubic root of 460500036 is about 772.2238717338.

The spelling of 460500036 in words is "four hundred sixty million, five hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 426 852 1349 2698 4047 5396 8094 16188 28447 56894 85341 113788 170682 341364 540493 1080986 1621479 2019737 2161972 3242958 4039474 6059211 6485916 8078948 12118422 24236844 38375003 76750006 115125009 153500012 230250018 460500036