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67881320 = 23513314211
BaseRepresentation
bin1000000101111…
…00100101101000
311201201201122222
410002330211220
5114334200240
610422533212
71452660503
oct402744550
9151651588
1067881320
1135354271
121a897208
13110a9380
14903013a
155e5ceb5
hex40bc968

67881320 has 64 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 24249600.

The previous prime is 67881311. The next prime is 67881337. The reversal of 67881320 is 2318876.

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 15 ways as a sum of consecutive naturals, for example, 14015 + ... + 18225.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 267881320 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 67881320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

67881320 is an abundant number, since it is smaller than the sum of its proper divisors (101946520).

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

67881320 is a wasteful number, since it uses less digits than its factorization.

67881320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 67881320 is about 8239.0120766995. The cubic root of 67881320 is about 407.9279156260.

The spelling of 67881320 in words is "sixty-seven million, eight hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 4211 8060 8422 16120 16844 21055 33688 42110 54743 84220 109486 130541 168440 218972 261082 273715 437944 522164 547430 652705 1044328 1094860 1305410 1697033 2189720 2610820 3394066 5221640 6788132 8485165 13576264 16970330 33940660 67881320