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21335130 = 2335312549
BaseRepresentation
bin101000101100…
…0110001011010
31111010221022000
41101120301122
520430211010
62041141430
7346226355
oct121306132
944127260
1021335130
1111052443
12718a876
13456004b
142b9529c
151d167c0
hex1458c5a

21335130 has 64 divisors (see below), whose sum is σ = 58752000. Its totient is φ = 5503680.

The previous prime is 21335123. The next prime is 21335137. The reversal of 21335130 is 3153312.

It is an interprime number because it is at equal distance from previous prime (21335123) and next prime (21335137).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21335137) 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 31 ways as a sum of consecutive naturals, for example, 7096 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 221335130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21335130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29376000).

21335130 is an abundant number, since it is smaller than the sum of its proper divisors (37416870).

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

21335130 is a wasteful number, since it uses less digits than its factorization.

21335130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 21335130 is about 4618.9966442941. The cubic root of 21335130 is about 277.3522953910.

Adding to 21335130 its reverse (3153312), we get a palindrome (24488442).

The spelling of 21335130 in words is "twenty-one million, three hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2549 2790 4185 5098 7647 8370 12745 15294 22941 25490 38235 45882 68823 76470 79019 114705 137646 158038 229410 237057 344115 395095 474114 688230 711171 790190 1185285 1422342 2133513 2370570 3555855 4267026 7111710 10667565 21335130