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20726772 = 22311236827
BaseRepresentation
bin100111100010…
…0001111110100
31110000000210020
41033010033310
520301224042
62020125140
7341113623
oct117041764
943000706
1020726772
1110777370
126b367b0
1343a9181
142a776ba
151c463ec
hex13c43f4

20726772 has 48 divisors (see below), whose sum is σ = 55060992. Its totient is φ = 6006880.

The previous prime is 20726753. The next prime is 20726773. The reversal of 20726772 is 27762702.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20726773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378 + ... + 6449.

It is an arithmetic number, because the mean of its divisors is an integer number (1147104).

Almost surely, 220726772 is an apocalyptic number.

20726772 is a gapful number since it is divisible by the number (22) 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 20726772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27530496).

20726772 is an abundant number, since it is smaller than the sum of its proper divisors (34334220).

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

20726772 is a wasteful number, since it uses less digits than its factorization.

20726772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6866 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 20726772 is about 4552.6664714209. Note that the first 3 decimals coincide. The cubic root of 20726772 is about 274.6906582189.

The spelling of 20726772 in words is "twenty million, seven hundred twenty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 6827 13654 20481 27308 40962 75097 81924 150194 157021 225291 300388 314042 450582 471063 628084 901164 942126 1727231 1884252 3454462 5181693 6908924 10363386 20726772