Search a number
-
+
68544216 = 233213671093
BaseRepresentation
bin1000001010111…
…10011011011000
311202222101222200
410011132123120
5120021403331
610445050200
71461421236
oct405363330
9152871880
1068544216
1135767314
121ab56960
131127c010
149163956
15603e5e6
hex415e6d8

68544216 has 96 divisors (see below), whose sum is σ = 203090160. Its totient is φ = 20756736.

The previous prime is 68544167. The next prime is 68544263. The reversal of 68544216 is 61244586.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 62166 + ... + 63258.

Almost surely, 268544216 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 68544216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101545080).

68544216 is an abundant number, since it is smaller than the sum of its proper divisors (134545944).

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

68544216 is a wasteful number, since it uses less digits than its factorization.

68544216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1178 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 68544216 is about 8279.1434339550. The cubic root of 68544216 is about 409.2514917587.

The spelling of 68544216 in words is "sixty-eight million, five hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 268 312 402 468 536 603 804 871 936 1093 1206 1608 1742 2186 2412 2613 3279 3484 4372 4824 5226 6558 6968 7839 8744 9837 10452 13116 14209 15678 19674 20904 26232 28418 31356 39348 42627 56836 62712 73231 78696 85254 113672 127881 146462 170508 219693 255762 292924 341016 439386 511524 585848 659079 878772 952003 1023048 1318158 1757544 1904006 2636316 2856009 3808012 5272632 5712018 7616024 8568027 11424036 17136054 22848072 34272108 68544216