Search a number
-
+
21306150 = 23252113419
BaseRepresentation
bin101000101000…
…1101100100110
31111002110112200
41101101230212
520423244100
62040355330
7346046025
oct121215446
944073480
1021306150
1111032698
127175b46
13454cab8
142b888bc
151d0ce00
hex1451b26

21306150 has 72 divisors (see below), whose sum is σ = 57886920. Its totient is φ = 5617920.

The previous prime is 21306149. The next prime is 21306167. The reversal of 21306150 is 5160312.

21306150 is a `hidden beast` number, since 21 + 30 + 615 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 50641 + ... + 51059.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 221306150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21306150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28943460).

21306150 is an abundant number, since it is smaller than the sum of its proper divisors (36580770).

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

21306150 is a wasteful number, since it uses less digits than its factorization.

21306150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

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

The square root of 21306150 is about 4615.8585333608. The cubic root of 21306150 is about 277.2266604793.

Adding to 21306150 its reverse (5160312), we get a palindrome (26466462).

The spelling of 21306150 in words is "twenty-one million, three hundred six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 150 225 226 339 419 450 565 678 838 1017 1130 1257 1695 2034 2095 2514 2825 3390 3771 4190 5085 5650 6285 7542 8475 10170 10475 12570 16950 18855 20950 25425 31425 37710 47347 50850 62850 94275 94694 142041 188550 236735 284082 426123 473470 710205 852246 1183675 1420410 2130615 2367350 3551025 4261230 7102050 10653075 21306150