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21073888 = 25111923137
BaseRepresentation
bin101000001100…
…0111111100000
31110122122221101
41100120333200
520343331023
62031404144
7344060623
oct120307740
943578841
1021073888
1110994140
127083654
13449b174
142b27dba
151cb41ad
hex1418fe0

21073888 has 96 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 8616960.

The previous prime is 21073879. The next prime is 21073889. The reversal of 21073888 is 88837012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21073889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153756 + ... + 153892.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 221073888 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 21073888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

21073888 is an abundant number, since it is smaller than the sum of its proper divisors (29003552).

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

21073888 is a wasteful number, since it uses less digits than its factorization.

21073888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 21073888 is about 4590.6304577912. The cubic root of 21073888 is about 276.2156125170.

It can be divided in two parts, 2107 and 3888, that added together give a palindrome (5995).

The spelling of 21073888 in words is "twenty-one million, seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 88 92 137 152 176 184 209 253 274 304 352 368 418 437 506 548 608 736 836 874 1012 1096 1507 1672 1748 2024 2192 2603 3014 3151 3344 3496 4048 4384 4807 5206 6028 6302 6688 6992 8096 9614 10412 12056 12604 13984 19228 20824 24112 25208 28633 34661 38456 41648 48224 50416 57266 59869 69322 76912 83296 100832 114532 119738 138644 153824 229064 239476 277288 458128 478952 554576 658559 916256 957904 1109152 1317118 1915808 2634236 5268472 10536944 21073888