Search a number
-
+
21152310 = 2352941593
BaseRepresentation
bin101000010110…
…0001000110110
31110210122111220
41100230020312
520403333220
62033211210
7344535354
oct120541066
943718456
1021152310
1110a38053
127100b06
1344c7a7a
142b487d4
151ccc540
hex142c236

21152310 has 64 divisors (see below), whose sum is σ = 53887680. Its totient is φ = 5304320.

The previous prime is 21152309. The next prime is 21152311. The reversal of 21152310 is 1325112.

It is an interprime number because it is at equal distance from previous prime (21152309) and next prime (21152311).

It is a super-2 number, since 2×211523102 = 894840436672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21152310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152311) 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, 35374 + ... + 35966.

It is an arithmetic number, because the mean of its divisors is an integer number (841995).

Almost surely, 221152310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21152310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26943840).

21152310 is an abundant number, since it is smaller than the sum of its proper divisors (32735370).

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

21152310 is a wasteful number, since it uses less digits than its factorization.

21152310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 21152310 is about 4599.1640544777. The cubic root of 21152310 is about 276.5578143098.

Adding to 21152310 its reverse (1325112), we get a palindrome (22477422).

The spelling of 21152310 in words is "twenty-one million, one hundred fifty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 82 87 123 145 174 205 246 290 410 435 593 615 870 1186 1189 1230 1779 2378 2965 3558 3567 5930 5945 7134 8895 11890 17197 17790 17835 24313 34394 35670 48626 51591 72939 85985 103182 121565 145878 171970 243130 257955 364695 515910 705077 729390 1410154 2115231 3525385 4230462 7050770 10576155 21152310