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20903680 = 28572333
BaseRepresentation
bin100111110111…
…1011100000000
31110100000110101
41033233130000
520322404210
62024012144
7342451450
oct117573400
943300411
1020903680
1110888276
127001054
13443b855
142ac1d60
151c7da3a
hex13ef700

20903680 has 72 divisors (see below), whose sum is σ = 57248352. Its totient is φ = 7163904.

The previous prime is 20903647. The next prime is 20903681. The reversal of 20903680 is 8630902.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20903681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7794 + ... + 10126.

It is an arithmetic number, because the mean of its divisors is an integer number (795116).

Almost surely, 220903680 is an apocalyptic number.

20903680 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 20903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28624176).

20903680 is an abundant number, since it is smaller than the sum of its proper divisors (36344672).

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

20903680 is an equidigital number, since it uses as much as digits as its factorization.

20903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 20903680 is about 4572.0542428978. The cubic root of 20903680 is about 275.4699622390.

The spelling of 20903680 in words is "twenty million, nine hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 2333 4480 4666 8960 9332 11665 16331 18664 23330 32662 37328 46660 65324 74656 81655 93320 130648 149312 163310 186640 261296 298624 326620 373280 522592 597248 653240 746560 1045184 1306480 1493120 2090368 2612960 2986240 4180736 5225920 10451840 20903680