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1686016640 = 27571134213
BaseRepresentation
bin110010001111110…
…1001001010000000
311100111112112000202
41210133221022000
511423110013030
6435145104332
756531622260
oct14437511200
94314475022
101686016640
11795792290
123b07880a8
1320b3c18a9
1411dcc57a0
159d040745
hex647e9280

1686016640 has 128 divisors (see below), whose sum is σ = 5025352320. Its totient is φ = 525496320.

The previous prime is 1686016621. The next prime is 1686016643. The reversal of 1686016640 is 466106861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×16860166402 = 5685304220713779200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1686016594 and 1686016603.

It is not an unprimeable number, because it can be changed into a prime (1686016643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32174 + ... + 66386.

It is an arithmetic number, because the mean of its divisors is an integer number (39260565).

Almost surely, 21686016640 is an apocalyptic number.

1686016640 is a gapful number since it is divisible by the number (10) 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 1686016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512676160).

1686016640 is an abundant number, since it is smaller than the sum of its proper divisors (3339335680).

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

1686016640 is a wasteful number, since it uses less digits than its factorization.

1686016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34250 (or 34238 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1686016640 is about 41061.1329605017. The cubic root of 1686016640 is about 1190.2018441603.

The spelling of 1686016640 in words is "one billion, six hundred eighty-six million, sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 34213 49280 68426 136852 171065 239491 273704 342130 376343 478982 547408 684260 752686 957964 1094816 1197455 1368520 1505372 1881715 1915928 2189632 2394910 2634401 2737040 3010744 3763430 3831856 4379264 4789820 5268802 5474080 6021488 7526860 7663712 9579640 10537604 10948160 12042976 13172005 15053720 15327424 19159280 21075208 21896320 24085952 26344010 30107440 30654848 38318560 42150416 48171904 52688020 60214880 76637120 84300832 105376040 120429760 153274240 168601664 210752080 240859520 337203328 421504160 843008320 1686016640