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20945736 = 2333721979
BaseRepresentation
bin100111111100…
…1101101001000
31110102011011000
41033321231020
520330230421
62024535000
7343015200
oct117715510
943364130
1020945736
1110906929
127021460
134454a36
142ad3400
151c8b226
hex13f9b48

20945736 has 96 divisors (see below), whose sum is σ = 67716000. Its totient is φ = 5981472.

The previous prime is 20945731. The next prime is 20945747. The reversal of 20945736 is 63754902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20945736.

It is not an unprimeable number, because it can be changed into a prime (20945731) 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, 9595 + ... + 11573.

It is an arithmetic number, because the mean of its divisors is an integer number (705375).

Almost surely, 220945736 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 20945736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33858000).

20945736 is an abundant number, since it is smaller than the sum of its proper divisors (46770264).

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

20945736 is a wasteful number, since it uses less digits than its factorization.

20945736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 20945736 is about 4576.6511774440. The cubic root of 20945736 is about 275.6545773248.

The spelling of 20945736 in words is "twenty million, nine hundred forty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 1979 2646 3528 3958 5292 5937 7916 10584 11874 13853 15832 17811 23748 27706 35622 41559 47496 53433 55412 71244 83118 96971 106866 110824 124677 142488 166236 193942 213732 249354 290913 332472 374031 387884 427464 498708 581826 748062 775768 872739 997416 1163652 1496124 1745478 2327304 2618217 2992248 3490956 5236434 6981912 10472868 20945736