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1420036640 = 255112411789
BaseRepresentation
bin101010010100100…
…0000101000100000
310122222001100001122
41110221000220200
510402012133030
6352524151412
750122053341
oct12451005040
93588040048
101420036640
11669634600
12337698568
13198275789
14d684a0c8
1584a018e5
hex54a40a20

1420036640 has 144 divisors (see below), whose sum is σ = 3779599320. Its totient is φ = 503500800.

The previous prime is 1420036619. The next prime is 1420036643. The reversal of 1420036640 is 466300241.

It can be written as a sum of positive squares in 4 ways, for example, as 1127079184 + 292957456 = 33572^2 + 17116^2 .

It is not an unprimeable number, because it can be changed into a prime (1420036643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792866 + ... + 794654.

Almost surely, 21420036640 is an apocalyptic number.

1420036640 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 1420036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889799660).

1420036640 is an abundant number, since it is smaller than the sum of its proper divisors (2359562680).

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

1420036640 is a wasteful number, since it uses less digits than its factorization.

1420036640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1420036640 is about 37683.3735220190. The cubic root of 1420036640 is about 1124.0005319079. Note that the first 3 decimals are identical.

Adding to 1420036640 its reverse (466300241), we get a palindrome (1886336881).

The spelling of 1420036640 in words is "one billion, four hundred twenty million, thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 121 160 164 176 205 220 242 328 352 410 440 451 484 605 656 820 880 902 968 1210 1312 1640 1760 1789 1804 1936 2255 2420 3280 3578 3608 3872 4510 4840 4961 6560 7156 7216 8945 9020 9680 9922 14312 14432 17890 18040 19360 19679 19844 24805 28624 35780 36080 39358 39688 49610 57248 71560 72160 73349 78716 79376 98395 99220 143120 146698 157432 158752 196790 198440 216469 286240 293396 314864 366745 393580 396880 432938 586792 629728 733490 787160 793760 806839 865876 1082345 1173584 1466980 1574320 1613678 1731752 2164690 2347168 2933960 3148640 3227356 3463504 4034195 4329380 5867920 6454712 6927008 8068390 8658760 8875229 11735840 12909424 16136780 17317520 17750458 25818848 32273560 34635040 35500916 44376145 64547120 71001832 88752290 129094240 142003664 177504580 284007328 355009160 710018320 1420036640