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466380540 = 223257136493
BaseRepresentation
bin11011110011000…
…110011011111100
31012111120120211100
4123303012123330
51423343134130
6114140053100
714362112013
oct3363063374
91174516740
10466380540
1121a29466a
12110234190
1375813822
1445d23a7a
152ae26c60
hex1bcc66fc

466380540 has 72 divisors (see below), whose sum is σ = 1434652128. Its totient is φ = 122613120.

The previous prime is 466380539. The next prime is 466380557. The reversal of 466380540 is 45083664.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 466380495 and 466380504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5467 + ... + 31026.

It is an arithmetic number, because the mean of its divisors is an integer number (19925724).

Almost surely, 2466380540 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 466380540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717326064).

466380540 is an abundant number, since it is smaller than the sum of its proper divisors (968271588).

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

466380540 is a wasteful number, since it uses less digits than its factorization.

466380540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36579 (or 36574 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 466380540 is about 21595.8454337866. The cubic root of 466380540 is about 775.4970325389.

The spelling of 466380540 in words is "four hundred sixty-six million, three hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 36493 72986 109479 145972 182465 218958 328437 364930 437916 547395 656874 729860 1094790 1313748 1642185 2189580 2591003 3284370 5182006 6568740 7773009 10364012 12955015 15546018 23319027 25910030 31092036 38865045 46638054 51820060 77730090 93276108 116595135 155460180 233190270 466380540