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1685217420 = 2233513612293
BaseRepresentation
bin110010001110010…
…0110000010001100
311100110000220201000
41210130212002030
511422403424140
6435120020300
756522053215
oct14434460214
94313026630
101685217420
11795296877
123b0461690
1320b1a1b93
1411db5840c
159ce33a30
hex6472608c

1685217420 has 96 divisors (see below), whose sum is σ = 5249039040. Its totient is φ = 448865280.

The previous prime is 1685217419. The next prime is 1685217427. The reversal of 1685217420 is 247125861.

1685217420 is a `hidden beast` number, since 1 + 68 + 521 + 74 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1685217427) 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, 733794 + ... + 736086.

It is an arithmetic number, because the mean of its divisors is an integer number (54677490).

Almost surely, 21685217420 is an apocalyptic number.

1685217420 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 1685217420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624519520).

1685217420 is an abundant number, since it is smaller than the sum of its proper divisors (3563821620).

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

1685217420 is a wasteful number, since it uses less digits than its factorization.

1685217420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1685217420 is about 41051.3997325304. The cubic root of 1685217420 is about 1190.0137512240.

The spelling of 1685217420 in words is "one billion, six hundred eighty-five million, two hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1361 2293 2722 4083 4586 5444 6805 6879 8166 9172 11465 12249 13610 13758 16332 20415 20637 22930 24498 27220 27516 34395 36747 40830 41274 45860 48996 61245 61911 68790 73494 81660 82548 103185 122490 123822 137580 146988 183735 206370 244980 247644 309555 367470 412740 619110 734940 1238220 3120773 6241546 9362319 12483092 15603865 18724638 28086957 31207730 37449276 46811595 56173914 62415460 84260871 93623190 112347828 140434785 168521742 187246380 280869570 337043484 421304355 561739140 842608710 1685217420