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1677972114 = 2327131760259
BaseRepresentation
bin110010000000011…
…1101001010010010
311022221101211000100
41210000331022102
511414030101424
6434300433230
756403345660
oct14400751222
94287354010
101677972114
11791198315
123a9b48816
13209836110
1411cbcdc30
159c4a1dc9
hex6403d292

1677972114 has 96 divisors (see below), whose sum is σ = 4737882240. Its totient is φ = 416503296.

The previous prime is 1677972083. The next prime is 1677972203. The reversal of 1677972114 is 4112797761.

It is a self number, because there is not a number n which added to its sum of digits gives 1677972114.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284 + ... + 57975.

It is an arithmetic number, because the mean of its divisors is an integer number (49352940).

Almost surely, 21677972114 is an apocalyptic number.

1677972114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1677972114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368941120).

1677972114 is an abundant number, since it is smaller than the sum of its proper divisors (3059910126).

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

1677972114 is a wasteful number, since it uses less digits than its factorization.

1677972114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60304 (or 60301 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 1677972114 is about 40963.0579180803. The cubic root of 1677972114 is about 1188.3058806624.

The spelling of 1677972114 in words is "one billion, six hundred seventy-seven million, nine hundred seventy-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 663 714 819 1071 1326 1547 1638 1989 2142 3094 3978 4641 9282 13923 27846 60259 120518 180777 361554 421813 542331 783367 843626 1024403 1084662 1265439 1566734 2048806 2350101 2530878 3073209 3796317 4700202 5483569 6146418 7050303 7170821 7592634 9219627 10967138 13317239 14100606 14341642 16450707 18439254 21512463 26634478 32901414 39951717 43024926 49352121 64537389 79903434 93220673 98704242 119855151 129074778 186441346 239710302 279662019 559324038 838986057 1677972114