Search a number
-
+
20556288 = 29331487
BaseRepresentation
bin100111001101…
…0101000000000
31102200100221000
41032122220000
520230300123
62012332000
7336503604
oct116325000
942610830
1020556288
1110670275
126a74000
1343496ac
142a31504
151c10b43
hex139aa00

20556288 has 80 divisors (see below), whose sum is σ = 60888960. Its totient is φ = 6847488.

The previous prime is 20556269. The next prime is 20556299. The reversal of 20556288 is 88265502.

20556288 is a `hidden beast` number, since 20 + 5 + 5 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13081 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (761112).

Almost surely, 220556288 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 20556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30444480).

20556288 is an abundant number, since it is smaller than the sum of its proper divisors (40332672).

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

20556288 is an equidigital number, since it uses as much as digits as its factorization.

20556288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 20556288 is about 4533.9042777721. The cubic root of 20556288 is about 273.9354457474.

The spelling of 20556288 in words is "twenty million, five hundred fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1487 1536 1728 2304 2974 3456 4461 4608 5948 6912 8922 11896 13383 13824 17844 23792 26766 35688 40149 47584 53532 71376 80298 95168 107064 142752 160596 190336 214128 285504 321192 380672 428256 571008 642384 761344 856512 1142016 1284768 1713024 2284032 2569536 3426048 5139072 6852096 10278144 20556288