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20739456 = 273317353
BaseRepresentation
bin100111100011…
…1010110000000
31110000200012000
41033013112000
520302130311
62020304000
7341165613
oct117072600
943020160
1020739456
1110785951
126b42000
1343b1b8a
142a7c17a
151c4a056
hex13c7580

20739456 has 128 divisors (see below), whose sum is σ = 64994400. Its totient is φ = 6488064.

The previous prime is 20739449. The next prime is 20739457. The reversal of 20739456 is 65493702.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20739456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20739457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58576 + ... + 58928.

Almost surely, 220739456 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 20739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497200).

20739456 is an abundant number, since it is smaller than the sum of its proper divisors (44254944).

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

20739456 is a wasteful number, since it uses less digits than its factorization.

20739456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

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

The square root of 20739456 is about 4554.0592881516. The cubic root of 20739456 is about 274.7466802215.

The spelling of 20739456 in words is "twenty million, seven hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 353 384 408 432 459 544 576 612 706 816 864 918 1059 1088 1152 1224 1412 1632 1728 1836 2118 2176 2448 2824 3177 3264 3456 3672 4236 4896 5648 6001 6354 6528 7344 8472 9531 9792 11296 12002 12708 14688 16944 18003 19062 19584 22592 24004 25416 29376 33888 36006 38124 45184 48008 50832 54009 58752 67776 72012 76248 96016 101664 108018 135552 144024 152496 162027 192032 203328 216036 288048 304992 324054 384064 406656 432072 576096 609984 648108 768128 864144 1152192 1219968 1296216 1728288 2304384 2592432 3456576 5184864 6913152 10369728 20739456