Search a number
-
+
1685740014 = 2327291393319
BaseRepresentation
bin110010001111010…
…0101100111101110
311100111000110120100
41210132211213232
511423022140024
6435135131530
756526360630
oct14436454756
94314013510
101685740014
11795613472
123b0673ba6
1320b3259ca
1411dc52a50
159ced87c9
hex647a59ee

1685740014 has 96 divisors (see below), whose sum is σ = 4350528000. Its totient is φ = 461547072.

The previous prime is 1685740003. The next prime is 1685740019. The reversal of 1685740014 is 4100475861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685740019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506247 + ... + 509565.

It is an arithmetic number, because the mean of its divisors is an integer number (45318000).

Almost surely, 21685740014 is an apocalyptic number.

1685740014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685740014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175264000).

1685740014 is an abundant number, since it is smaller than the sum of its proper divisors (2664787986).

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

1685740014 is a wasteful number, since it uses less digits than its factorization.

1685740014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3499 counting only the distinct ones).

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

The square root of 1685740014 is about 41057.7643570616. The cubic root of 1685740014 is about 1190.1367481671.

The spelling of 1685740014 in words is "one billion, six hundred eighty-five million, seven hundred forty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 139 174 203 261 278 406 417 522 609 834 973 1218 1251 1827 1946 2502 2919 3319 3654 4031 5838 6638 8062 8757 9957 12093 17514 19914 23233 24186 28217 29871 36279 46466 56434 59742 69699 72558 84651 96251 139398 169302 192502 209097 253953 288753 418194 461341 507906 577506 673757 866259 922682 1347514 1384023 1732518 2021271 2768046 3229387 4042542 4152069 6063813 6458774 8304138 9688161 12127626 13378889 19376322 26757778 29064483 40136667 58128966 80273334 93652223 120410001 187304446 240820002 280956669 561913338 842870007 1685740014