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20711120 = 245376997
BaseRepresentation
bin100111100000…
…0011011010000
31102222020022112
41033000123100
520300223440
62015524452
7341020163
oct117003320
942866275
1020711120
1110766631
126b29728
1343a2001
142a71ada
151c41965
hex13c06d0

20711120 has 40 divisors (see below), whose sum is σ = 49461864. Its totient is φ = 8059392.

The previous prime is 20711099. The next prime is 20711123. The reversal of 20711120 is 2111702.

It can be written as a sum of positive squares in 4 ways, for example, as 4032064 + 16679056 = 2008^2 + 4084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 20711095 and 20711104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20711123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539 + ... + 6458.

Almost surely, 220711120 is an apocalyptic number.

20711120 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 20711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730932).

20711120 is an abundant number, since it is smaller than the sum of its proper divisors (28750744).

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

20711120 is a wasteful number, since it uses less digits than its factorization.

20711120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 20711120 is about 4550.9471541647. The cubic root of 20711120 is about 274.6214958028.

Adding to 20711120 its reverse (2111702), we get a palindrome (22822822).

The spelling of 20711120 in words is "twenty million, seven hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 6997 13994 27988 34985 55976 69970 111952 139940 258889 279880 517778 559760 1035556 1294445 2071112 2588890 4142224 5177780 10355560 20711120