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20420736 = 273771107
BaseRepresentation
bin100110111100…
…1100010000000
31102102110222120
41031321202000
520211430421
62005404240
7335400450
oct115714200
942373876
1020420736
1110588446
126a09680
1342cca9b
1429d7d60
151bd58c6
hex1379880

20420736 has 128 divisors (see below), whose sum is σ = 63452160. Its totient is φ = 5698560.

The previous prime is 20420681. The next prime is 20420759. The reversal of 20420736 is 63702402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190795 + ... + 190901.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 220420736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726080).

20420736 is an abundant number, since it is smaller than the sum of its proper divisors (43031424).

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

20420736 is a wasteful number, since it uses less digits than its factorization.

20420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20420736 is about 4518.9308470035. The cubic root of 20420736 is about 273.3319902109.

The spelling of 20420736 in words is "twenty million, four hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 107 112 128 142 168 192 213 214 224 284 321 336 384 426 428 448 497 568 642 672 749 852 856 896 994 1136 1284 1344 1491 1498 1704 1712 1988 2247 2272 2568 2688 2982 2996 3408 3424 3976 4494 4544 5136 5964 5992 6816 6848 7597 7952 8988 9088 10272 11928 11984 13632 13696 15194 15904 17976 20544 22791 23856 23968 27264 30388 31808 35952 41088 45582 47712 47936 53179 60776 63616 71904 91164 95424 95872 106358 121552 143808 159537 182328 190848 212716 243104 287616 319074 364656 425432 486208 638148 729312 850864 972416 1276296 1458624 1701728 2552592 2917248 3403456 5105184 6806912 10210368 20420736