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20638720 = 210529139
BaseRepresentation
bin100111010111…
…0110000000000
31102211120000001
41032232300000
520240414340
62014205344
7340266124
oct116566000
942746001
1020638720
11107171a3
126ab3854
13437807b
142a53584
151c2a29a
hex13aec00

20638720 has 88 divisors (see below), whose sum is σ = 51584400. Its totient is φ = 7913472.

The previous prime is 20638699. The next prime is 20638729. The reversal of 20638720 is 2783602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20638729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148411 + ... + 148549.

Almost surely, 220638720 is an apocalyptic number.

20638720 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 20638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25792200).

20638720 is an abundant number, since it is smaller than the sum of its proper divisors (30945680).

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

20638720 is a wasteful number, since it uses less digits than its factorization.

20638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 20638720 is about 4542.9858023111. The cubic root of 20638720 is about 274.3011234729.

The spelling of 20638720 in words is "twenty million, six hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 139 145 160 232 256 278 290 320 464 512 556 580 640 695 928 1024 1112 1160 1280 1390 1856 2224 2320 2560 2780 3712 4031 4448 4640 5120 5560 7424 8062 8896 9280 11120 14848 16124 17792 18560 20155 22240 29696 32248 35584 37120 40310 44480 64496 71168 74240 80620 88960 128992 142336 148480 161240 177920 257984 322480 355840 515968 644960 711680 1031936 1289920 2063872 2579840 4127744 5159680 10319360 20638720