Search a number
-
+
20711860 = 22513372153
BaseRepresentation
bin100111100000…
…0100110110100
31102222021022221
41033000212310
520300234420
62015532124
7341022301
oct117004664
942867287
1020711860
1110767144
126b2a044
1343a2450
142a720a8
151c41caa
hex13c09b4

20711860 has 48 divisors (see below), whose sum is σ = 48128976. Its totient is φ = 7437312.

The previous prime is 20711839. The next prime is 20711861. The reversal of 20711860 is 6811702.

It can be written as a sum of positive squares in 8 ways, for example, as 1737124 + 18974736 = 1318^2 + 4356^2 .

It is a super-2 number, since 2×207118602 = 857962289319200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20711861) 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, 8544 + ... + 10696.

It is an arithmetic number, because the mean of its divisors is an integer number (1002687).

Almost surely, 220711860 is an apocalyptic number.

20711860 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 20711860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064488).

20711860 is an abundant number, since it is smaller than the sum of its proper divisors (27417116).

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

20711860 is a wasteful number, since it uses less digits than its factorization.

20711860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 20711860 is about 4551.0284551956. The cubic root of 20711860 is about 274.6247664690.

The spelling of 20711860 in words is "twenty million, seven hundred eleven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2153 2405 4306 4810 8612 9620 10765 21530 27989 43060 55978 79661 111956 139945 159322 279890 318644 398305 559780 796610 1035593 1593220 2071186 4142372 5177965 10355930 20711860