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20421360 = 24325113251
BaseRepresentation
bin100110111100…
…1101011110000
31102102111211200
41031321223300
520211440420
62005411200
7335402331
oct115715360
942374750
1020421360
1110588963
126a09b00
13430015b
1429d8288
151bd5b90
hex1379af0

20421360 has 120 divisors (see below), whose sum is σ = 69464304. Its totient is φ = 5376000.

The previous prime is 20421347. The next prime is 20421367. The reversal of 20421360 is 6312402.

It is a happy number.

It is a Cunningham number, because it is equal to 45192-1.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20421367) 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, 81235 + ... + 81485.

Almost surely, 220421360 is an apocalyptic number.

20421360 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 20421360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732152).

20421360 is an abundant number, since it is smaller than the sum of its proper divisors (49042944).

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

20421360 is a wasteful number, since it uses less digits than its factorization.

20421360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20421360 is about 4518.9998893561. Note that the first 3 decimals coincide. The cubic root of 20421360 is about 273.3347742670.

Adding to 20421360 its reverse (6312402), we get a palindrome (26733762).

The spelling of 20421360 in words is "twenty million, four hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 251 339 360 452 502 565 678 720 753 904 1004 1017 1130 1255 1356 1506 1695 1808 2008 2034 2259 2260 2510 2712 3012 3390 3765 4016 4068 4518 4520 5020 5085 5424 6024 6780 7530 8136 9036 9040 10040 10170 11295 12048 13560 15060 16272 18072 20080 20340 22590 27120 28363 30120 36144 40680 45180 56726 60240 81360 85089 90360 113452 141815 170178 180720 226904 255267 283630 340356 425445 453808 510534 567260 680712 850890 1021068 1134520 1276335 1361424 1701780 2042136 2269040 2552670 3403560 4084272 5105340 6807120 10210680 20421360