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460746132 = 223711498643
BaseRepresentation
bin11011011101100…
…110110110010100
31012002222022212120
4123131212312110
51420422334012
6113415215540
714263164120
oct3335466624
91162868776
10460746132
11217096430
1210a3775b0
13745c0062
1445298580
152a6b258c
hex1b766d94

460746132 has 48 divisors (see below), whose sum is σ = 1340355072. Its totient is φ = 119674080.

The previous prime is 460746127. The next prime is 460746133. The reversal of 460746132 is 231647064.

It is a happy number.

It is a super-2 number, since 2×4607461322 = 424573996305922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 460746093 and 460746102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460746133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248398 + ... + 250245.

It is an arithmetic number, because the mean of its divisors is an integer number (27924064).

Almost surely, 2460746132 is an apocalyptic number.

460746132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

460746132 is an abundant number, since it is smaller than the sum of its proper divisors (879608940).

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

460746132 is a wasteful number, since it uses less digits than its factorization.

460746132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498668 (or 498666 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 460746132 is about 21464.9978336826. The cubic root of 460746132 is about 772.3614087210.

The spelling of 460746132 in words is "four hundred sixty million, seven hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 498643 997286 1495929 1994572 2991858 3490501 5485073 5983716 6981002 10471503 10970146 13962004 16455219 20943006 21940292 32910438 38395511 41886012 65820876 76791022 115186533 153582044 230373066 460746132