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1685164032 = 21232172689
BaseRepresentation
bin110010001110001…
…1001000000000000
311100102221012110200
41210130121000000
511422400222112
6435114525200
756521441446
oct14434310000
94312835420
101685164032
1179525a752
123b0436800
1320b1837a6
1411db42b96
159ce22cdc
hex64719000

1685164032 has 156 divisors (see below), whose sum is σ = 5155906860. Its totient is φ = 528482304.

The previous prime is 1685164031. The next prime is 1685164037. The reversal of 1685164032 is 2304615861.

It is a happy number.

1685164032 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 1 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 594579456 + 1090584576 = 24384^2 + 33024^2 .

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 (1685164031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625344 + ... + 628032.

It is an arithmetic number, because the mean of its divisors is an integer number (33050685).

Almost surely, 21685164032 is an apocalyptic number.

1685164032 is a gapful number since it is divisible by the number (12) 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 1685164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577953430).

1685164032 is an abundant number, since it is smaller than the sum of its proper divisors (3470742828).

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

1685164032 is a wasteful number, since it uses less digits than its factorization.

1685164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1685164032 is about 41050.7494694068. The cubic root of 1685164032 is about 1190.0011844726.

Adding to 1685164032 its reverse (2304615861), we get a palindrome (3989779893).

The spelling of 1685164032 in words is "one billion, six hundred eighty-five million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2048 2176 2304 2448 2689 3072 3264 4096 4352 4608 4896 5378 6144 6528 8067 8704 9216 9792 10756 12288 13056 16134 17408 18432 19584 21512 24201 26112 32268 34816 36864 39168 43024 45713 48402 52224 64536 69632 78336 86048 91426 96804 104448 129072 137139 156672 172096 182852 193608 208896 258144 274278 313344 344192 365704 387216 411417 516288 548556 626688 688384 731408 774432 822834 1032576 1097112 1376768 1462816 1548864 1645668 2065152 2194224 2753536 2925632 3097728 3291336 4130304 4388448 5507072 5851264 6195456 6582672 8260608 8776896 11014144 11702528 12390912 13165344 16521216 17553792 23405056 24781824 26330688 33042432 35107584 46810112 49563648 52661376 70215168 93620224 99127296 105322752 140430336 187240448 210645504 280860672 421291008 561721344 842582016 1685164032