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671017116 = 2237112107617
BaseRepresentation
bin100111111111101…
…110100010011100
31201202122012102210
4213333232202130
52333240021431
6150330120420
722425360060
oct4777564234
91652565383
10671017116
11314854100
12168880110
13a9032363
1465191aa0
153dd99d46
hex27fee89c

671017116 has 144 divisors (see below), whose sum is σ = 1988437248. Its totient is φ = 172381440.

The previous prime is 671017099. The next prime is 671017133. The reversal of 671017116 is 611710176.

It is an interprime number because it is at equal distance from previous prime (671017099) and next prime (671017133).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087240 + ... + 1087856.

It is an arithmetic number, because the mean of its divisors is an integer number (13808592).

Almost surely, 2671017116 is an apocalyptic number.

671017116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671017116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994218624).

671017116 is an abundant number, since it is smaller than the sum of its proper divisors (1317420132).

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

671017116 is a wasteful number, since it uses less digits than its factorization.

671017116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 671017116 is about 25903.9980697961. The cubic root of 671017116 is about 875.4765799965.

The spelling of 671017116 in words is "six hundred seventy-one million, seventeen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 121 132 154 214 231 242 308 321 363 428 462 484 617 642 726 749 847 924 1177 1234 1284 1452 1498 1694 1851 2247 2354 2468 2541 2996 3388 3531 3702 4319 4494 4708 5082 6787 7062 7404 8239 8638 8988 10164 12947 12957 13574 14124 16478 17276 20361 24717 25894 25914 27148 32956 38841 40722 47509 49434 51788 51828 66019 74657 77682 81444 90629 95018 98868 132038 142527 149314 155364 181258 190036 198057 223971 264076 271887 285054 298628 362516 396114 447942 462133 522599 543774 570108 726209 792228 895884 924266 1045198 1087548 1386399 1452418 1567797 1848532 2090396 2178627 2772798 2904836 3135594 4357254 5083463 5545596 6271188 7988299 8714508 10166926 15250389 15976598 20333852 23964897 30500778 31953196 47929794 55918093 61001556 95859588 111836186 167754279 223672372 335508558 671017116