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68745216 = 211367167
BaseRepresentation
bin1000001100011…
…11100000000000
311210100121201010
410012033200000
5120044321331
610453240520
71463216241
oct406174000
9153317633
1068745216
1135894331
121b033140
131131c657
1491b6cc8
15607de46
hex418f800

68745216 has 96 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 22437888.

The previous prime is 68745203. The next prime is 68745221. The reversal of 68745216 is 61254786.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411565 + ... + 411731.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 268745216 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 68745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

68745216 is an abundant number, since it is smaller than the sum of its proper divisors (118379904).

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

68745216 is a wasteful number, since it uses less digits than its factorization.

68745216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 68745216 is about 8291.2734848152. The cubic root of 68745216 is about 409.6511329394.

It can be divided in two parts, 6874 and 5216, that added together give a triangular number (12090 = T155).

The spelling of 68745216 in words is "sixty-eight million, seven hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 167 192 201 256 268 334 384 402 501 512 536 668 768 804 1002 1024 1072 1336 1536 1608 2004 2048 2144 2672 3072 3216 4008 4288 5344 6144 6432 8016 8576 10688 11189 12864 16032 17152 21376 22378 25728 32064 33567 34304 42752 44756 51456 64128 67134 68608 85504 89512 102912 128256 134268 137216 171008 179024 205824 256512 268536 342016 358048 411648 513024 537072 716096 1026048 1074144 1432192 2148288 2864384 4296576 5728768 8593152 11457536 17186304 22915072 34372608 68745216