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20759130 = 2325783397
BaseRepresentation
bin100111100110…
…0001001011010
31110001200011200
41033030021122
520303243010
62020535030
7341310150
oct117141132
943050150
1020759130
1110799707
126b51476
1343bab12
142a853d0
151c50cc0
hex13cc25a

20759130 has 96 divisors (see below), whose sum is σ = 62584704. Its totient is φ = 4675968.

The previous prime is 20759129. The next prime is 20759131. The reversal of 20759130 is 3195702.

It is an interprime number because it is at equal distance from previous prime (20759129) and next prime (20759131).

It is a junction number, because it is equal to n+sod(n) for n = 20759094 and 20759103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20759131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52092 + ... + 52488.

It is an arithmetic number, because the mean of its divisors is an integer number (651924).

Almost surely, 220759130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20759130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31292352).

20759130 is an abundant number, since it is smaller than the sum of its proper divisors (41825574).

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

20759130 is a wasteful number, since it uses less digits than its factorization.

20759130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 20759130 is about 4556.2188270539. The cubic root of 20759130 is about 274.8335301026.

The spelling of 20759130 in words is "twenty million, seven hundred fifty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 397 415 498 581 630 747 794 830 1162 1191 1245 1494 1743 1985 2382 2490 2779 2905 3486 3573 3735 3970 5229 5558 5810 5955 7146 7470 8337 8715 10458 11910 13895 16674 17430 17865 25011 26145 27790 32951 35730 41685 50022 52290 65902 83370 98853 125055 164755 197706 230657 250110 296559 329510 461314 494265 593118 691971 988530 1153285 1383942 1482795 2075913 2306570 2965590 3459855 4151826 6919710 10379565 20759130