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20735316 = 22327107769
BaseRepresentation
bin100111100011…
…0010101010100
31110000110111200
41033012111110
520302012231
62020232500
7341150550
oct117062524
943013450
1020735316
1110782828
126b3b730
1343b0024
142a7a860
151c48be6
hex13c6554

20735316 has 72 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 5861376.

The previous prime is 20735293. The next prime is 20735321. The reversal of 20735316 is 61353702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20735316.

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, 26580 + ... + 27348.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 220735316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20735316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

20735316 is an abundant number, since it is smaller than the sum of its proper divisors (39805164).

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

20735316 is a wasteful number, since it uses less digits than its factorization.

20735316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 20735316 is about 4553.6047259287. The cubic root of 20735316 is about 274.7283974059.

The spelling of 20735316 in words is "twenty million, seven hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 769 963 1284 1498 1538 1926 2247 2307 2996 3076 3852 4494 4614 5383 6741 6921 8988 9228 10766 13482 13842 16149 21532 26964 27684 32298 48447 64596 82283 96894 164566 193788 246849 329132 493698 575981 740547 987396 1151962 1481094 1727943 2303924 2962188 3455886 5183829 6911772 10367658 20735316