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20728040 = 23529107167
BaseRepresentation
bin100111100010…
…0100011101000
31110000002112012
41033010203220
520301244130
62020135052
7341120414
oct117044350
943002465
1020728040
1110778313
126b37488
1343a9918
142a77d44
151c46995
hex13c48e8

20728040 has 64 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 7883008.

The previous prime is 20728033. The next prime is 20728061. The reversal of 20728040 is 4082702.

It is a junction number, because it is equal to n+sod(n) for n = 20727997 and 20728015.

It is an unprimeable number.

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, 124037 + ... + 124203.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 220728040 is an apocalyptic number.

20728040 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 20728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

20728040 is an abundant number, since it is smaller than the sum of its proper divisors (28260760).

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

20728040 is a wasteful number, since it uses less digits than its factorization.

20728040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 20728040 is about 4552.8057283394. The cubic root of 20728040 is about 274.6962596805.

The spelling of 20728040 in words is "twenty million, seven hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 107 116 145 167 214 232 290 334 428 535 580 668 835 856 1070 1160 1336 1670 2140 3103 3340 4280 4843 6206 6680 9686 12412 15515 17869 19372 24215 24824 31030 35738 38744 48430 62060 71476 89345 96860 124120 142952 178690 193720 357380 518201 714760 1036402 2072804 2591005 4145608 5182010 10364020 20728040