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20888000 = 26537373
BaseRepresentation
bin100111110101…
…1100111000000
31110022012221122
41033223213000
520321404000
62023411412
7342354650
oct117534700
943265848
1020888000
1110877511
126bb3b68
134434683
142aba360
151c79085
hex13eb9c0

20888000 has 112 divisors (see below), whose sum is σ = 59277504. Its totient is φ = 7142400.

The previous prime is 20887967. The next prime is 20888003. The reversal of 20888000 is 88802.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20888003) 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 15 ways as a sum of consecutive naturals, for example, 55814 + ... + 56186.

Almost surely, 220888000 is an apocalyptic number.

20888000 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 20888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29638752).

20888000 is an abundant number, since it is smaller than the sum of its proper divisors (38389504).

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

20888000 is an equidigital number, since it uses as much as digits as its factorization.

20888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 20888000 is about 4570.3391559052. The cubic root of 20888000 is about 275.4010676799.

The spelling of 20888000 in words is "twenty million, eight hundred eighty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 373 400 448 500 560 700 746 800 875 1000 1120 1400 1492 1600 1750 1865 2000 2240 2611 2800 2984 3500 3730 4000 5222 5600 5968 7000 7460 8000 9325 10444 11200 11936 13055 14000 14920 18650 20888 23872 26110 28000 29840 37300 41776 46625 52220 56000 59680 65275 74600 83552 93250 104440 119360 130550 149200 167104 186500 208880 261100 298400 326375 373000 417760 522200 596800 652750 746000 835520 1044400 1305500 1492000 2088800 2611000 2984000 4177600 5222000 10444000 20888000