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20466540 = 22335151251
BaseRepresentation
bin100111000010…
…0101101101100
31102111210211000
41032010231230
520214412130
62010400300
7335651133
oct116045554
942453730
1020466540
11106098a6
126a30090
1343178a3
142a0a91a
151be4260
hex1384b6c

20466540 has 96 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 5400000.

The previous prime is 20466497. The next prime is 20466577. The reversal of 20466540 is 4566402.

It is a happy number.

20466540 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81415 + ... + 81665.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 220466540 is an apocalyptic number.

20466540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

20466540 is an abundant number, since it is smaller than the sum of its proper divisors (43884180).

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

20466540 is a wasteful number, since it uses less digits than its factorization.

20466540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20466540 is about 4523.9960212184. The cubic root of 20466540 is about 273.5362001131.

The spelling of 20466540 in words is "twenty million, four hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 151 180 251 270 302 453 502 540 604 753 755 906 1004 1255 1359 1506 1510 1812 2259 2265 2510 2718 3012 3020 3765 4077 4518 4530 5020 5436 6777 6795 7530 8154 9036 9060 11295 13554 13590 15060 16308 20385 22590 27108 27180 33885 37901 40770 45180 67770 75802 81540 113703 135540 151604 189505 227406 341109 379010 454812 568515 682218 758020 1023327 1137030 1364436 1705545 2046654 2274060 3411090 4093308 5116635 6822180 10233270 20466540