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67296080 = 2451038167
BaseRepresentation
bin1000000001011…
…01101101010000
311200121222212102
410000231231100
5114211433310
610402215532
71445002325
oct400555520
9150558772
1067296080
1134a945a5
121a6545a8
1310c32b87
148d1ab4c
155d948a5
hex402db50

67296080 has 40 divisors (see below), whose sum is σ = 158001792. Its totient is φ = 26653824.

The previous prime is 67296067. The next prime is 67296107. The reversal of 67296080 is 8069276.

It is a tau number, because it is divible by the number of its divisors (40).

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, 4157 + ... + 12323.

Almost surely, 267296080 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 67296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79000896).

67296080 is an abundant number, since it is smaller than the sum of its proper divisors (90705712).

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

67296080 is a wasteful number, since it uses less digits than its factorization.

67296080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8283 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 67296080 is about 8203.4187995006. The cubic root of 67296080 is about 406.7522110942.

The spelling of 67296080 in words is "sixty-seven million, two hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8167 8240 16334 32668 40835 65336 81670 130672 163340 326680 653360 841201 1682402 3364804 4206005 6729608 8412010 13459216 16824020 33648040 67296080