Search a number
-
+
21531000 = 233537177
BaseRepresentation
bin101001000100…
…0100101111000
31111111212222110
41102020211320
521002443000
62045252320
7351003411
oct122104570
944455873
1021531000
1111176617
1272640a0
1345cb24a
142c06808
151d54850
hex1488978

21531000 has 64 divisors (see below), whose sum is σ = 67186080. Its totient is φ = 5740800.

The previous prime is 21530989. The next prime is 21531001. The reversal of 21531000 is 13512.

It is a super-2 number, since 2×215310002 = 927167922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21531001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589 + ... + 6588.

Almost surely, 221531000 is an apocalyptic number.

21531000 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 21531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33593040).

21531000 is an abundant number, since it is smaller than the sum of its proper divisors (45655080).

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

21531000 is a wasteful number, since it uses less digits than its factorization.

21531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7201 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 21531000 is about 4640.1508596165. The cubic root of 21531000 is about 278.1984677354.

Adding to 21531000 its reverse (13512), we get a palindrome (21544512).

The spelling of 21531000 in words is "twenty-one million, five hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7177 14354 21531 28708 35885 43062 57416 71770 86124 107655 143540 172248 179425 215310 287080 358850 430620 538275 717700 861240 897125 1076550 1435400 1794250 2153100 2691375 3588500 4306200 5382750 7177000 10765500 21531000