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20424240 = 24325191493
BaseRepresentation
bin100110111101…
…0011000110000
31102102122210100
41031322120300
520212033430
62005432400
7335413614
oct115723060
942378710
1020424240
1110590041
126a0b700
134301565
1429d9344
151bd6960
hex137a630

20424240 has 120 divisors (see below), whose sum is σ = 72249840. Its totient is φ = 5156352.

The previous prime is 20424199. The next prime is 20424247. The reversal of 20424240 is 4242402.

20424240 is a `hidden beast` number, since 2 + 0 + 424 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20424247) 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, 12934 + ... + 14426.

It is an arithmetic number, because the mean of its divisors is an integer number (602082).

Almost surely, 220424240 is an apocalyptic number.

20424240 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 20424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36124920).

20424240 is an abundant number, since it is smaller than the sum of its proper divisors (51825600).

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

20424240 is a wasteful number, since it uses less digits than its factorization.

20424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20424240 is about 4519.3185326994. The cubic root of 20424240 is about 273.3476230219.

Adding to 20424240 its reverse (4242402), we get a palindrome (24666642).

The spelling of 20424240 in words is "twenty million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1493 1520 1710 2280 2736 2986 3420 4479 4560 5972 6840 7465 8958 11944 13437 13680 14930 17916 22395 23888 26874 28367 29860 35832 44790 53748 56734 59720 67185 71664 85101 89580 107496 113468 119440 134370 141835 170202 179160 214992 226936 255303 268740 283670 340404 358320 425505 453872 510606 537480 567340 680808 851010 1021212 1074960 1134680 1276515 1361616 1702020 2042424 2269360 2553030 3404040 4084848 5106060 6808080 10212120 20424240