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1996484420 = 2257217293409
BaseRepresentation
bin111011011111111…
…1110111101000100
312011010201220202102
41312333332331010
513042100000140
6530035331232
7100321560200
oct16677767504
95133656672
101996484420
11934a66327
12478750b18
1325a816138
1414d221b00
15ba41ae15
hex76ffef44

1996484420 has 144 divisors (see below), whose sum is σ = 5194309680. Its totient is φ = 640475136.

The previous prime is 1996484417. The next prime is 1996484459. The reversal of 1996484420 is 244846991.

It can be written as a sum of positive squares in 8 ways, for example, as 629407744 + 1367076676 = 25088^2 + 36974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4881176 + ... + 4881584.

It is an arithmetic number, because the mean of its divisors is an integer number (36071595).

Almost surely, 21996484420 is an apocalyptic number.

1996484420 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 1996484420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597154840).

1996484420 is an abundant number, since it is smaller than the sum of its proper divisors (3197825260).

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

1996484420 is a wasteful number, since it uses less digits than its factorization.

1996484420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 1996484420 is about 44682.0368828459. The cubic root of 1996484420 is about 1259.1823913827.

The spelling of 1996484420 in words is "one billion, nine hundred ninety-six million, four hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 293 340 409 476 490 586 595 818 833 980 1172 1190 1465 1636 1666 2045 2051 2380 2863 2930 3332 4090 4102 4165 4981 5726 5860 6953 8180 8204 8330 9962 10255 11452 13906 14315 14357 16660 19924 20041 20510 24905 27812 28630 28714 34765 34867 40082 41020 48671 49810 57260 57428 69530 69734 71785 80164 97342 99620 100205 119837 139060 139468 143570 174335 194684 200410 239674 243355 244069 287140 340697 348670 400820 479348 486710 488138 599185 681394 697340 838859 973420 976276 1198370 1220345 1362788 1677718 1703485 2037229 2396740 2440690 3355436 3406970 4074458 4194295 4881380 5872013 6813940 8148916 8388590 10186145 11744026 14260603 16777180 20372290 23488052 28521206 29360065 40744580 57042412 58720130 71303015 99824221 117440260 142606030 199648442 285212060 399296884 499121105 998242210 1996484420