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67311216 = 2433722259
BaseRepresentation
bin1000000001100…
…01011001110000
311200122202122000
410000301121300
5114212424331
610402414000
71445064420
oct400613160
9150582560
1067311216
1134aa4a05
121a661300
1310c39a2b
148d22480
155d990e6
hex4031670

67311216 has 80 divisors (see below), whose sum is σ = 220819200. Its totient is φ = 19230912.

The previous prime is 67311203. The next prime is 67311229. The reversal of 67311216 is 61211376.

It is an interprime number because it is at equal distance from previous prime (67311203) and next prime (67311229).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 67311216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8106 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (2760240).

Almost surely, 267311216 is an apocalyptic number.

It is an amenable number.

67311216 is an abundant number, since it is smaller than the sum of its proper divisors (153507984).

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

67311216 is a wasteful number, since it uses less digits than its factorization.

67311216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22283 (or 22271 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 67311216 is about 8204.3412898294. The cubic root of 67311216 is about 406.7827039052.

The spelling of 67311216 in words is "sixty-seven million, three hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 22259 44518 66777 89036 133554 155813 178072 200331 267108 311626 356144 400662 467439 534216 600993 623252 801324 934878 1068432 1201986 1246504 1402317 1602648 1869756 2403972 2493008 2804634 3205296 3739512 4206951 4807944 5609268 7479024 8413902 9615888 11218536 16827804 22437072 33655608 67311216