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67701114 = 23213349829
BaseRepresentation
bin1000000100100…
…00100101111010
311201101120110200
410002100211322
5114312413424
610415023030
71451310225
oct402204572
9151346420
1067701114
1135240938
121a80aa76
1311045340
148dc45bc
155e248c9
hex409097a

67701114 has 48 divisors (see below), whose sum is σ = 158613000. Its totient is φ = 20746368.

The previous prime is 67701091. The next prime is 67701131. The reversal of 67701114 is 41110776.

It can be written as a sum of positive squares in 4 ways, for example, as 56025225 + 11675889 = 7485^2 + 3417^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81252 + ... + 82080.

Almost surely, 267701114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67701114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79306500).

67701114 is an abundant number, since it is smaller than the sum of its proper divisors (90911886).

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

67701114 is a wasteful number, since it uses less digits than its factorization.

67701114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 67701114 is about 8228.0686676765. The cubic root of 67701114 is about 407.5666173850.

The spelling of 67701114 in words is "sixty-seven million, seven hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 349 698 829 1047 1658 2094 2487 3141 4537 4974 6282 7461 9074 10777 13611 14922 21554 27222 32331 40833 64662 81666 96993 193986 289321 578642 867963 1735926 2603889 3761173 5207778 7522346 11283519 22567038 33850557 67701114