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20852118 = 2327612713
BaseRepresentation
bin100111110001…
…0110110010110
31110020101201200
41033202312112
520314231433
62022533330
7342145230
oct117426626
943211650
1020852118
1110852561
126b97246
134421241
142aab250
151c6d613
hex13e2d96

20852118 has 48 divisors (see below), whose sum is σ = 52499616. Its totient is φ = 5857920.

The previous prime is 20852113. The next prime is 20852123. The reversal of 20852118 is 81125802.

It is an interprime number because it is at equal distance from previous prime (20852113) and next prime (20852123).

It is a junction number, because it is equal to n+sod(n) for n = 20852091 and 20852100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20852113) 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, 6330 + ... + 9042.

It is an arithmetic number, because the mean of its divisors is an integer number (1093742).

Almost surely, 220852118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20852118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26249808).

20852118 is an abundant number, since it is smaller than the sum of its proper divisors (31647498).

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

20852118 is a wasteful number, since it uses less digits than its factorization.

20852118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 20852118 is about 4566.4119393677. The cubic root of 20852118 is about 275.2432800345.

It can be divided in two parts, 208 and 52118, that added together give a triangular number (52326 = T323).

The spelling of 20852118 in words is "twenty million, eight hundred fifty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 2713 3843 5426 7686 8139 16278 18991 24417 37982 48834 56973 113946 165493 170919 330986 341838 496479 992958 1158451 1489437 2316902 2978874 3475353 6950706 10426059 20852118