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21131040 = 2535719331
BaseRepresentation
bin101000010011…
…0111100100000
31110202120100010
41100212330200
520402143130
62032524520
7344416350
oct120467440
943676303
1021131040
1110a23077
1270b0740
1344bb198
142b40b60
151cc60b0
hex1426f20

21131040 has 192 divisors, whose sum is σ = 80317440. Its totient is φ = 4561920.

The previous prime is 21131039. The next prime is 21131041. The reversal of 21131040 is 4013112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21131039) and next prime (21131041).

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

It is not an unprimeable number, because it can be changed into a prime (21131041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63675 + ... + 64005.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 221131040 is an apocalyptic number.

21131040 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 21131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40158720).

21131040 is an abundant number, since it is smaller than the sum of its proper divisors (59186400).

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

21131040 is a wasteful number, since it uses less digits than its factorization.

21131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 21131040 is about 4596.8510961309. The cubic root of 21131040 is about 276.4650843666.

Adding to 21131040 its reverse (4013112), we get a palindrome (25144152).

The spelling of 21131040 in words is "twenty-one million, one hundred thirty-one thousand, forty".