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1996782840 = 233451347407
BaseRepresentation
bin111011100000100…
…0111110011111000
312011011022002010000
41313001013303320
513042134022330
6530045553000
7100324242213
oct16701076370
95134262100
101996782840
1193514a558
12478875760
1325a8bbc10
1414d29c77a
15ba479560
hex77047cf8

1996782840 has 160 divisors (see below), whose sum is σ = 7227823680. Its totient is φ = 491505408.

The previous prime is 1996782839. The next prime is 1996782841. The reversal of 1996782840 is 482876991.

It is an interprime number because it is at equal distance from previous prime (1996782839) and next prime (1996782841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996782841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18417 + ... + 65823.

It is an arithmetic number, because the mean of its divisors is an integer number (45173898).

Almost surely, 21996782840 is an apocalyptic number.

1996782840 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 1996782840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613911840).

1996782840 is an abundant number, since it is smaller than the sum of its proper divisors (5231040840).

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

1996782840 is a wasteful number, since it uses less digits than its factorization.

1996782840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47443 (or 47430 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1996782840 is about 44685.3761313475. The cubic root of 1996782840 is about 1259.2451260719.

The spelling of 1996782840 in words is "one billion, nine hundred ninety-six million, seven hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 47407 94814 142221 189628 237035 284442 379256 426663 474070 568884 616291 711105 853326 948140 1137768 1232582 1279989 1422210 1706652 1848873 1896280 2133315 2465164 2559978 2844420 3081455 3413304 3697746 3839967 4266630 4930328 5119956 5546619 5688840 6162910 6399945 7395492 7679934 8533260 9244365 10239912 11093238 12325820 12799890 14790984 15359868 16639857 17066520 18488730 19199835 22186476 24651640 25599780 27733095 30719736 33279714 36977460 38399670 44372952 49919571 51199560 55466190 66559428 73954920 76799340 83199285 99839142 110932380 133118856 153598680 166398570 199678284 221864760 249597855 332797140 399356568 499195710 665594280 998391420 1996782840