Search a number
-
+
21325500 = 2232537677
BaseRepresentation
bin101000101011…
…0011010111100
31111010110002100
41101112122330
520424404000
62041025100
7346156320
oct121263274
944113070
1021325500
1111046189
127185190
134558851
142b91980
151d13a00
hex14566bc

21325500 has 144 divisors (see below), whose sum is σ = 76999104. Its totient is φ = 4867200.

The previous prime is 21325487. The next prime is 21325501. The reversal of 21325500 is 552312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21325501) 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 47 ways as a sum of consecutive naturals, for example, 31162 + ... + 31838.

It is an arithmetic number, because the mean of its divisors is an integer number (534716).

Almost surely, 221325500 is an apocalyptic number.

21325500 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 21325500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38499552).

21325500 is an abundant number, since it is smaller than the sum of its proper divisors (55673604).

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

21325500 is a wasteful number, since it uses less digits than its factorization.

21325500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 21325500 is about 4617.9540924526. The cubic root of 21325500 is about 277.3105597722.

Adding to 21325500 its reverse (552312), we get a palindrome (21877812).

The spelling of 21325500 in words is "twenty-one million, three hundred twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 677 700 750 875 900 1050 1125 1260 1354 1500 1575 1750 2031 2100 2250 2625 2708 3150 3385 3500 4062 4500 4739 5250 6093 6300 6770 7875 8124 9478 10155 10500 12186 13540 14217 15750 16925 18956 20310 23695 24372 28434 30465 31500 33850 40620 42651 47390 50775 56868 60930 67700 71085 84625 85302 94780 101550 118475 121860 142170 152325 169250 170604 203100 213255 236950 253875 284340 304650 338500 355425 426510 473900 507750 592375 609300 710850 761625 853020 1015500 1066275 1184750 1421700 1523250 1777125 2132550 2369500 3046500 3554250 4265100 5331375 7108500 10662750 21325500