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1678428660 = 2235313972273
BaseRepresentation
bin110010000001010…
…1100100111110100
311022222021000021110
41210002230213310
511414134204120
6434314315020
756410260006
oct14402544764
94288230243
101678428660
1179147a327
123aa128a70
13209965b6c
1411ccac376
159c5422e0
hex640ac9f4

1678428660 has 96 divisors (see below), whose sum is σ = 4865559552. Its totient is φ = 431861760.

The previous prime is 1678428659. The next prime is 1678428667. The reversal of 1678428660 is 668248761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678428667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737284 + ... + 739556.

It is an arithmetic number, because the mean of its divisors is an integer number (50682912).

Almost surely, 21678428660 is an apocalyptic number.

1678428660 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 1678428660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432779776).

1678428660 is an abundant number, since it is smaller than the sum of its proper divisors (3187130892).

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

1678428660 is a wasteful number, since it uses less digits than its factorization.

1678428660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 1678428660 is about 40968.6301943328. The cubic root of 1678428660 is about 1188.4136431011.

The spelling of 1678428660 in words is "one billion, six hundred seventy-eight million, four hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 397 465 620 794 930 1191 1588 1860 1985 2273 2382 3970 4546 4764 5955 6819 7940 9092 11365 11910 12307 13638 22730 23820 24614 27276 34095 36921 45460 49228 61535 68190 70463 73842 123070 136380 140926 147684 184605 211389 246140 281852 352315 369210 422778 704630 738420 845556 902381 1056945 1409260 1804762 2113890 2707143 3609524 4227780 4511905 5414286 9023810 10828572 13535715 18047620 27071430 27973811 54142860 55947622 83921433 111895244 139869055 167842866 279738110 335685732 419607165 559476220 839214330 1678428660