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1685106368 = 2611171031367
BaseRepresentation
bin110010001110000…
…1010111011000000
311100102211021100222
41210130022323000
511422341400433
6435113402212
756521111361
oct14434127300
94312737328
101685106368
117952203a0
123b0409368
1320b16347a
1411db29b68
159ce10b98
hex6470aec0

1685106368 has 112 divisors (see below), whose sum is σ = 3902805504. Its totient is φ = 713379840.

The previous prime is 1685106361. The next prime is 1685106373. The reversal of 1685106368 is 8636015861.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1685106361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232021 + ... + 1233387.

Almost surely, 21685106368 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 1685106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951402752).

1685106368 is an abundant number, since it is smaller than the sum of its proper divisors (2217699136).

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

1685106368 is a wasteful number, since it uses less digits than its factorization.

1685106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 1685106368 is about 41050.0471132495. The cubic root of 1685106368 is about 1189.9876109154.

The spelling of 1685106368 in words is "one billion, six hundred eighty-five million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 103 136 176 187 206 272 352 374 412 544 704 748 824 1088 1133 1367 1496 1648 1751 2266 2734 2992 3296 3502 4532 5468 5984 6592 7004 9064 10936 11968 14008 15037 18128 19261 21872 23239 28016 30074 36256 38522 43744 46478 56032 60148 72512 77044 87488 92956 112064 120296 140801 154088 185912 240592 255629 281602 308176 371824 481184 511258 563204 616352 743648 962368 1022516 1126408 1232704 1487296 1548811 2045032 2252816 2393617 3097622 4090064 4505632 4787234 6195244 8180128 9011264 9574468 12390488 16360256 19148936 24780976 26329787 38297872 49561952 52659574 76595744 99123904 105319148 153191488 210638296 421276592 842553184 1685106368