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67797216 = 2533131599
BaseRepresentation
bin1000000101010…
…00000011100000
311201120110022000
410002220003200
5114324002331
610421044000
71452160344
oct402500340
9151513260
1067797216
11352a7063
121a856600
1311079cc6
14900b624
155e430e6
hex40a80e0

67797216 has 96 divisors (see below), whose sum is σ = 199584000. Its totient is φ = 22389120.

The previous prime is 67797211. The next prime is 67797221. The reversal of 67797216 is 61279776.

It is an interprime number because it is at equal distance from previous prime (67797211) and next prime (67797221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67797211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112885 + ... + 113483.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 267797216 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 67797216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

67797216 is an abundant number, since it is smaller than the sum of its proper divisors (131786784).

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

67797216 is a wasteful number, since it uses less digits than its factorization.

67797216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 735 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 67797216 is about 8233.9064847738. The cubic root of 67797216 is about 407.7593736846.

The spelling of 67797216 in words is "sixty-seven million, seven hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 131 144 216 262 288 393 432 524 599 786 864 1048 1179 1198 1572 1797 2096 2358 2396 3144 3537 3594 4192 4716 4792 5391 6288 7074 7188 9432 9584 10782 12576 14148 14376 16173 18864 19168 21564 28296 28752 32346 37728 43128 56592 57504 64692 78469 86256 113184 129384 156938 172512 235407 258768 313876 470814 517536 627752 706221 941628 1255504 1412442 1883256 2118663 2511008 2824884 3766512 4237326 5649768 7533024 8474652 11299536 16949304 22599072 33898608 67797216