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1686480696 = 233347271613
BaseRepresentation
bin110010010000101…
…1010011100111000
311100112102002121000
41210201122130320
511423214340241
6435203045000
756535564225
oct14441323470
94315362530
101686480696
11795a799aa
123b0970760
1320b524b94
1411dda694c
159d0d2eb6
hex6485a738

1686480696 has 128 divisors (see below), whose sum is σ = 4809830400. Its totient is φ = 547274880.

The previous prime is 1686480673. The next prime is 1686480737. The reversal of 1686480696 is 6960846861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2750886 + ... + 2751498.

It is an arithmetic number, because the mean of its divisors is an integer number (37576800).

Almost surely, 21686480696 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 1686480696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404915200).

1686480696 is an abundant number, since it is smaller than the sum of its proper divisors (3123349704).

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

1686480696 is a wasteful number, since it uses less digits than its factorization.

1686480696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 1686480696 is about 41066.7833656351. The cubic root of 1686480696 is about 1190.3110304377.

The spelling of 1686480696 in words is "one billion, six hundred eighty-six million, four hundred eighty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 271 282 376 423 542 564 613 813 846 1084 1128 1226 1269 1626 1692 1839 2168 2439 2452 2538 3252 3384 3678 4878 4904 5076 5517 6504 7317 7356 9756 10152 11034 12737 14634 14712 16551 19512 22068 25474 28811 29268 33102 38211 44136 50948 57622 58536 66204 76422 86433 101896 114633 115244 132408 152844 166123 172866 229266 230488 259299 305688 332246 343899 345732 458532 498369 518598 664492 687798 691464 777897 917064 996738 1037196 1328984 1375596 1495107 1555794 1993476 2074392 2751192 2990214 3111588 3986952 4485321 5980428 6223176 7807781 8970642 11960856 15615562 17941284 23423343 31231124 35882568 46846686 62462248 70270029 93693372 140540058 187386744 210810087 281080116 421620174 562160232 843240348 1686480696