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68001216 = 2631492377
BaseRepresentation
bin1000000110110…
…01110111000000
311201221211010120
410003121313000
5114402014331
610425300240
71454000163
oct403316700
9151854116
1068001216
1135426358
121a934680
131111bb0a
149061ada
155e83796
hex40d9dc0

68001216 has 56 divisors (see below), whose sum is σ = 181203600. Its totient is φ = 22505472.

The previous prime is 68001203. The next prime is 68001223. The reversal of 68001216 is 61210086.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27420 + ... + 29796.

Almost surely, 268001216 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 68001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90601800).

68001216 is an abundant number, since it is smaller than the sum of its proper divisors (113202384).

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

68001216 is a wasteful number, since it uses less digits than its factorization.

68001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 68001216 is about 8246.2849817357. The cubic root of 68001216 is about 408.1679431638.

The spelling of 68001216 in words is "sixty-eight million, one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2377 2384 3576 4754 4768 7131 7152 9508 9536 14262 14304 19016 28524 28608 38032 57048 76064 114096 152128 228192 354173 456384 708346 1062519 1416692 2125038 2833384 4250076 5666768 8500152 11333536 17000304 22667072 34000608 68001216