Search a number
-
+
20896740 = 22325176829
BaseRepresentation
bin100111110110…
…1101111100100
31110022122221100
41033231233210
520322143430
62023520100
7342422304
oct117555744
943278840
1020896740
1110883037
126bb9030
134438647
142abd604
151c7b960
hex13edbe4

20896740 has 72 divisors (see below), whose sum is σ = 67125240. Its totient is φ = 5243904.

The previous prime is 20896721. The next prime is 20896741. The reversal of 20896740 is 4769802.

It can be written as a sum of positive squares in 4 ways, for example, as 4639716 + 16257024 = 2154^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20896695 and 20896704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20896741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355 + ... + 6474.

It is an arithmetic number, because the mean of its divisors is an integer number (932295).

Almost surely, 220896740 is an apocalyptic number.

20896740 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 20896740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33562620).

20896740 is an abundant number, since it is smaller than the sum of its proper divisors (46228500).

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

20896740 is a wasteful number, since it uses less digits than its factorization.

20896740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20896740 is about 4571.2952212694. The cubic root of 20896740 is about 275.4394736178.

The spelling of 20896740 in words is "twenty million, eight hundred ninety-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6829 13658 20487 27316 34145 40974 61461 68290 81948 102435 116093 122922 136580 204870 232186 245844 307305 348279 409740 464372 580465 614610 696558 1044837 1160930 1229220 1393116 1741395 2089674 2321860 3482790 4179348 5224185 6965580 10448370 20896740