Search a number
-
+
5683420440 = 2332559267581
BaseRepresentation
bin1010100101100001…
…00001110100011000
3112200002100200011100
411102300201310120
543114423423230
62335543231400
7260561163615
oct52260416430
915602320140
105683420440
112457162995
121127448560
136c7614699
143bcb6150c
15233e51660
hex152c21d18

5683420440 has 96 divisors (see below), whose sum is σ = 18784256400. Its totient is φ = 1489885440.

The previous prime is 5683420439. The next prime is 5683420441. The reversal of 5683420440 is 440243865.

5683420440 is a `hidden beast` number, since 568 + 34 + 20 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5683420439) and next prime (5683420441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5683420395 and 5683420404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5683420441) 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 23 ways as a sum of consecutive naturals, for example, 112551 + ... + 155030.

Almost surely, 25683420440 is an apocalyptic number.

It is an amenable number.

5683420440 is an abundant number, since it is smaller than the sum of its proper divisors (13100835960).

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

5683420440 is a wasteful number, since it uses less digits than its factorization.

5683420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267657 (or 267650 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5683420440 is about 75388.4635736795. The cubic root of 5683420440 is about 1784.5823564480.

The spelling of 5683420440 in words is "five billion, six hundred eighty-three million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 1062 1180 1416 1770 2124 2360 2655 3540 4248 5310 7080 10620 21240 267581 535162 802743 1070324 1337905 1605486 2140648 2408229 2675810 3210972 4013715 4816458 5351620 6421944 8027430 9632916 10703240 12041145 15787279 16054860 19265832 24082290 31574558 32109720 47361837 48164580 63149116 78936395 94723674 96329160 126298232 142085511 157872790 189447348 236809185 284171022 315745580 378894696 473618370 568342044 631491160 710427555 947236740 1136684088 1420855110 1894473480 2841710220 5683420440