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20742736 = 2471671109
BaseRepresentation
bin100111100100…
…0001001010000
31110000211200111
41033020021100
520302231421
62020331104
7341211310
oct117101120
943024614
1020742736
1110788363
126b43a94
1343b3511
142a7d440
151c4aee1
hex13c8250

20742736 has 40 divisors (see below), whose sum is σ = 46247040. Its totient is φ = 8828544.

The previous prime is 20742713. The next prime is 20742763. The reversal of 20742736 is 63724702.

It is a happy number.

It is a super-2 number, since 2×207427362 = 860522193531392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20742698 and 20742707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18150 + ... + 19258.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 220742736 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 20742736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23123520).

20742736 is an abundant number, since it is smaller than the sum of its proper divisors (25504304).

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

20742736 is a wasteful number, since it uses less digits than its factorization.

20742736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 20742736 is about 4554.4193921948. The cubic root of 20742736 is about 274.7611634302.

The spelling of 20742736 in words is "twenty million, seven hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1109 1169 1336 2218 2338 2672 4436 4676 7763 8872 9352 15526 17744 18704 31052 62104 124208 185203 370406 740812 1296421 1481624 2592842 2963248 5185684 10371368 20742736