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20411440 = 2457241127
BaseRepresentation
bin100110111011…
…1010000110000
31102102000020021
41031313100300
520211131230
62005253224
7335331400
oct115672060
942360207
1020411440
1110581465
126a04214
1342c879a
1429d4800
151bd2c7a
hex1377430

20411440 has 120 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 6773760.

The previous prime is 20411431. The next prime is 20411473. The reversal of 20411440 is 4411402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160657 + ... + 160783.

Almost surely, 220411440 is an apocalyptic number.

20411440 is a gapful number since it is divisible by the number (20) 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 20411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

20411440 is an abundant number, since it is smaller than the sum of its proper divisors (36584912).

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

20411440 is a wasteful number, since it uses less digits than its factorization.

20411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 20411440 is about 4517.9021680422. The cubic root of 20411440 is about 273.2905081958.

Adding to 20411440 its reverse (4411402), we get a palindrome (24822842).

It can be divided in two parts, 2041 and 1440, that added together give a square (3481 = 592).

The spelling of 20411440 in words is "twenty million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 49 56 70 80 82 98 112 127 140 164 196 205 245 254 280 287 328 392 410 490 508 560 574 635 656 784 820 889 980 1016 1148 1270 1435 1640 1778 1960 2009 2032 2296 2540 2870 3280 3556 3920 4018 4445 4592 5080 5207 5740 6223 7112 8036 8890 10045 10160 10414 11480 12446 14224 16072 17780 20090 20828 22960 24892 26035 31115 32144 35560 36449 40180 41656 49784 52070 62230 71120 72898 80360 83312 99568 104140 124460 145796 160720 182245 208280 248920 255143 291592 364490 416560 497840 510286 583184 728980 1020572 1275715 1457960 2041144 2551430 2915920 4082288 5102860 10205720 20411440