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77016114 = 2327718609
BaseRepresentation
bin1001001011100…
…10110000110010
312100220211020200
410211302300302
5124204003424
611350420030
71623424530
oct445626062
9170824220
1077016114
113a52338a
1221961616
1312c57186
14a32b150
156b648c9
hex4972c32

77016114 has 48 divisors (see below), whose sum is σ = 193415040. Its totient is φ = 21692160.

The previous prime is 77016089. The next prime is 77016133. The reversal of 77016114 is 41161077.

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, 4642 + ... + 13250.

It is an arithmetic number, because the mean of its divisors is an integer number (4029480).

Almost surely, 277016114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77016114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96707520).

77016114 is an abundant number, since it is smaller than the sum of its proper divisors (116398926).

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

77016114 is a wasteful number, since it uses less digits than its factorization.

77016114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695 (or 8692 counting only the distinct ones).

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

The square root of 77016114 is about 8775.8825197242. The cubic root of 77016114 is about 425.4617615525.

The spelling of 77016114 in words is "seventy-seven million, sixteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 4473 8609 8946 17218 25827 51654 60263 77481 120526 154962 180789 361578 542367 611239 1084734 1222478 1833717 3667434 4278673 5501151 8557346 11002302 12836019 25672038 38508057 77016114