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21506130 = 2325832879
BaseRepresentation
bin101001000001…
…0100001010010
31111110121212100
41102002201102
521001144010
62044541230
7350541042
oct122024122
944417770
1021506130
1111159968
127251816
1345bcb29
142bdb722
151d4c2c0
hex1482852

21506130 has 48 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 5663904.

The previous prime is 21506101. The next prime is 21506131. The reversal of 21506130 is 3160512.

21506130 is a `hidden beast` number, since 2 + 1 + 50 + 613 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21506131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6031 + ... + 8909.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 221506130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21506130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

21506130 is an abundant number, since it is smaller than the sum of its proper divisors (35103150).

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

21506130 is a wasteful number, since it uses less digits than its factorization.

21506130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 21506130 is about 4637.4702155378. The cubic root of 21506130 is about 278.0913127570.

Adding to 21506130 its reverse (3160512), we get a palindrome (24666642).

The spelling of 21506130 in words is "twenty-one million, five hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 2879 3735 5758 7470 8637 14395 17274 25911 28790 43185 51822 86370 129555 238957 259110 477914 716871 1194785 1433742 2150613 2389570 3584355 4301226 7168710 10753065 21506130