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216426540 = 223511476977
BaseRepresentation
bin11001110011001…
…10100000101100
3120002020121101210
430321212200230
5420401122130
633250434420
75235411111
oct1471464054
9502217353
10216426540
11101192510
1260592a10
1335ab9055
1420a5a908
15140015b0
hexce6682c

216426540 has 96 divisors (see below), whose sum is σ = 675247104. Its totient is φ = 51343360.

The previous prime is 216426503. The next prime is 216426557. The reversal of 216426540 is 45624612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 216426498 and 216426507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27532 + ... + 34508.

It is an arithmetic number, because the mean of its divisors is an integer number (7033824).

Almost surely, 2216426540 is an apocalyptic number.

216426540 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 216426540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337623552).

216426540 is an abundant number, since it is smaller than the sum of its proper divisors (458820564).

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

216426540 is a wasteful number, since it uses less digits than its factorization.

216426540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 216426540 is about 14711.4424853581. The cubic root of 216426540 is about 600.3946847607.

It can be divided in two parts, 21642 and 6540, that added together give a palindrome (28182).

The spelling of 216426540 in words is "two hundred sixteen million, four hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 6977 7755 10340 13954 15510 20931 27908 31020 34885 41862 69770 76747 83724 104655 139540 153494 209310 230241 306988 327919 383735 418620 460482 655838 767470 920964 983757 1151205 1311676 1534940 1639595 1967514 2302410 3279190 3607109 3935028 4604820 4918785 6558380 7214218 9837570 10821327 14428436 18035545 19675140 21642654 36071090 43285308 54106635 72142180 108213270 216426540