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67781016 = 23331132777
BaseRepresentation
bin1000000101001…
…00000110011000
311201112122002000
410002210012120
5114322443031
610420441000
71452062202
oct402440630
9151478060
1067781016
1135295976
121a849160
1311072814
149005772
155e3d3e6
hex40a4198

67781016 has 64 divisors (see below), whose sum is σ = 190015200. Its totient is φ = 22385664.

The previous prime is 67780991. The next prime is 67781039. The reversal of 67781016 is 61018776.

It is a happy number.

It is a super-2 number, since 2×677810162 = 9188532259984512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 23020 + ... + 25796.

Almost surely, 267781016 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 67781016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95007600).

67781016 is an abundant number, since it is smaller than the sum of its proper divisors (122234184).

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

67781016 is a wasteful number, since it uses less digits than its factorization.

67781016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 67781016 is about 8232.9226888147. The cubic root of 67781016 is about 407.7268933535.

The spelling of 67781016 in words is "sixty-seven million, seven hundred eighty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 2777 3051 4068 5554 6102 8136 8331 11108 12204 16662 22216 24408 24993 33324 49986 66648 74979 99972 149958 199944 299916 313801 599832 627602 941403 1255204 1882806 2510408 2824209 3765612 5648418 7531224 8472627 11296836 16945254 22593672 33890508 67781016