Search a number
-
+
1683423640 = 235177931337
BaseRepresentation
bin110010001010111…
…0000000110011000
311100022122210002201
41210111300012120
511421424024030
6435013335544
756500602433
oct14425600630
94308583081
101683423640
11794281108
123ab9375b4
1320a9c4582
1411d80c81a
159cbcc2ca
hex64570198

1683423640 has 64 divisors (see below), whose sum is σ = 4061404800. Its totient is φ = 625717248.

The previous prime is 1683423631. The next prime is 1683423653. The reversal of 1683423640 is 463243861.

It is a self number, because there is not a number n which added to its sum of digits gives 1683423640.

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, 38052 + ... + 69388.

It is an arithmetic number, because the mean of its divisors is an integer number (63459450).

Almost surely, 21683423640 is an apocalyptic number.

1683423640 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 1683423640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030702400).

1683423640 is an abundant number, since it is smaller than the sum of its proper divisors (2377981160).

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

1683423640 is a wasteful number, since it uses less digits than its factorization.

1683423640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31444 (or 31440 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 1683423640 is about 41029.5459394812. The cubic root of 1683423640 is about 1189.5913763090.

The spelling of 1683423640 in words is "one billion, six hundred eighty-three million, four hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 316 340 395 632 680 790 1343 1580 2686 3160 5372 6715 10744 13430 26860 31337 53720 62674 125348 156685 250696 313370 532729 626740 1065458 1253480 2130916 2475623 2663645 4261832 4951246 5327290 9902492 10654580 12378115 19804984 21309160 24756230 42085591 49512460 84171182 99024920 168342364 210427955 336684728 420855910 841711820 1683423640