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1685716480 = 2957194951
BaseRepresentation
bin110010001111001…
…1111111000000000
311100110222021021201
41210132133320000
511423020411410
6435134430544
756526232210
oct14436377000
94313867251
101685716480
117955a7818
123b0662454
1320b318096
1411dc48240
159ced183a
hex6479fe00

1685716480 has 160 divisors (see below), whose sum is σ = 4863260160. Its totient is φ = 547430400.

The previous prime is 1685716477. The next prime is 1685716493. The reversal of 1685716480 is 846175861.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1685716480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338005 + ... + 342955.

It is an arithmetic number, because the mean of its divisors is an integer number (30395376).

Almost surely, 21685716480 is an apocalyptic number.

1685716480 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 1685716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431630080).

1685716480 is an abundant number, since it is smaller than the sum of its proper divisors (3177543680).

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

1685716480 is an equidigital number, since it uses as much as digits as its factorization.

1685716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 1685716480 is about 41057.4777598430. The cubic root of 1685716480 is about 1190.1312097866.

The spelling of 1685716480 in words is "one billion, six hundred eighty-five million, seven hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 512 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2560 2660 3040 3584 4256 4480 4864 4951 5320 6080 8512 8960 9728 9902 10640 12160 17024 17920 19804 21280 24320 24755 34048 34657 39608 42560 48640 49510 68096 69314 79216 85120 94069 99020 138628 158432 170240 173285 188138 198040 277256 316864 340480 346570 376276 396080 470345 554512 633728 658483 693140 752552 792160 940690 1109024 1267456 1316966 1386280 1505104 1584320 1881380 2218048 2534912 2633932 2772560 3010208 3168640 3292415 3762760 4436096 5267864 5545120 6020416 6337280 6584830 7525520 8872192 10535728 11090240 12040832 12674560 13169660 15051040 17744384 21071456 22180480 24081664 26339320 30102080 42142912 44360960 48163328 52678640 60204160 84285824 88721920 105357280 120408320 168571648 210714560 240816640 337143296 421429120 842858240 1685716480