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20350680 = 2335723461
BaseRepresentation
bin100110110100…
…0011011011000
31102021220212220
41031220123120
520202210210
62004104040
7334656300
oct115503330
942256786
1020350680
111053a849
126995020
1342a6c2c
1429ba600
151bbec70
hex13686d8

20350680 has 96 divisors (see below), whose sum is σ = 71040240. Its totient is φ = 4650240.

The previous prime is 20350679. The next prime is 20350709. The reversal of 20350680 is 8605302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20350680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4150 + ... + 7610.

Almost surely, 220350680 is an apocalyptic number.

20350680 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 20350680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35520120).

20350680 is an abundant number, since it is smaller than the sum of its proper divisors (50689560).

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

20350680 is a wasteful number, since it uses less digits than its factorization.

20350680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20350680 is about 4511.1727965131. The cubic root of 20350680 is about 273.0190650722.

Adding to 20350680 its reverse (8605302), we get a palindrome (28955982).

The spelling of 20350680 in words is "twenty million, three hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 3461 5880 6922 10383 13844 17305 20766 24227 27688 34610 41532 48454 51915 69220 72681 83064 96908 103830 121135 138440 145362 169589 193816 207660 242270 290724 339178 363405 415320 484540 508767 581448 678356 726810 847945 969080 1017534 1356712 1453620 1695890 2035068 2543835 2907240 3391780 4070136 5087670 6783560 10175340 20350680