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20668368 = 2437137449
BaseRepresentation
bin100111011010…
…1111111010000
31102220001200010
41032311333100
520242341433
62014554520
7340451430
oct116657720
942801603
1020668368
11107374a6
126b08a40
134388706
142a602c0
151c33e63
hex13b5fd0

20668368 has 80 divisors (see below), whose sum is σ = 61603200. Its totient is φ = 5849088.

The previous prime is 20668367. The next prime is 20668397. The reversal of 20668368 is 86386602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20668363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45808 + ... + 46256.

It is an arithmetic number, because the mean of its divisors is an integer number (770040).

Almost surely, 220668368 is an apocalyptic number.

20668368 is a gapful number since it is divisible by the number (28) 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 20668368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30801600).

20668368 is an abundant number, since it is smaller than the sum of its proper divisors (40934832).

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

20668368 is a wasteful number, since it uses less digits than its factorization.

20668368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 20668368 is about 4546.2476835298. The cubic root of 20668368 is about 274.4324072710.

The spelling of 20668368 in words is "twenty million, six hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 274 336 411 449 548 822 898 959 1096 1347 1644 1796 1918 2192 2694 2877 3143 3288 3592 3836 5388 5754 6286 6576 7184 7672 9429 10776 11508 12572 15344 18858 21552 23016 25144 37716 46032 50288 61513 75432 123026 150864 184539 246052 369078 430591 492104 738156 861182 984208 1291773 1476312 1722364 2583546 2952624 3444728 5167092 6889456 10334184 20668368