Search a number
-
+
1683368742 = 2311295571579
BaseRepresentation
bin110010001010110…
…0010101100100110
311100022112222210110
41210111202230212
511421420244432
6435012233450
756500253406
oct14425425446
94308488713
101683368742
11794243940
123ab90b886
1320a9a55a3
1411d7d6806
159cbbadcc
hex64562b26

1683368742 has 64 divisors (see below), whose sum is σ = 3808684800. Its totient is φ = 491326080.

The previous prime is 1683368741. The next prime is 1683368801. The reversal of 1683368742 is 2478633861.

It is a junction number, because it is equal to n+sod(n) for n = 1683368691 and 1683368700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683368741) 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, 1065309 + ... + 1066887.

It is an arithmetic number, because the mean of its divisors is an integer number (59510700).

Almost surely, 21683368742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683368742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904342400).

1683368742 is an abundant number, since it is smaller than the sum of its proper divisors (2125316058).

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

1683368742 is a wasteful number, since it uses less digits than its factorization.

1683368742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181.

The product of its digits is 1161216, while the sum is 48.

The square root of 1683368742 is about 41028.8769283294. The cubic root of 1683368742 is about 1189.5784449439.

The spelling of 1683368742 in words is "one billion, six hundred eighty-three million, three hundred sixty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 557 638 957 1114 1579 1671 1914 3158 3342 4737 6127 9474 12254 16153 17369 18381 32306 34738 36762 45791 48459 52107 91582 96918 104214 137373 177683 274746 355366 503701 533049 879503 1007402 1066098 1511103 1759006 2638509 3022206 5277018 9674533 19349066 25505587 29023599 51011174 58047198 76516761 153033522 280561457 561122914 841684371 1683368742