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20713728 = 28373853
BaseRepresentation
bin100111100000…
…1000100000000
31102222100220010
41033001010000
520300314403
62015544520
7341030610
oct117010400
942870803
1020713728
1110768592
126b2b140
1343a3259
142a72a40
151c42603
hex13c1100

20713728 has 72 divisors (see below), whose sum is σ = 63020608. Its totient is φ = 5916672.

The previous prime is 20713703. The next prime is 20713741. The reversal of 20713728 is 82731702.

It is a junction number, because it is equal to n+sod(n) for n = 20713695 and 20713704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450 + ... + 7302.

Almost surely, 220713728 is an apocalyptic number.

20713728 is a gapful number since it is divisible by the number (28) 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 20713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31510304).

20713728 is an abundant number, since it is smaller than the sum of its proper divisors (42306880).

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

20713728 is an equidigital number, since it uses as much as digits as its factorization.

20713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 20713728 is about 4551.2336789051. The cubic root of 20713728 is about 274.6330223450.

The spelling of 20713728 in words is "twenty million, seven hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3853 5376 7706 11559 15412 23118 26971 30824 46236 53942 61648 80913 92472 107884 123296 161826 184944 215768 246592 323652 369888 431536 493184 647304 739776 863072 986368 1294608 1479552 1726144 2589216 2959104 3452288 5178432 6904576 10356864 20713728