Search a number
-
+
20387214 = 2375979
BaseRepresentation
bin100110111000…
…1010110001110
31102100210000000
41031301112032
520204342324
62004545130
7335200641
oct115612616
942323000
1020387214
1110565241
1269b21a6
1342ba753
1429c9a58
151bca9c9
hex137158e

20387214 has 64 divisors (see below), whose sum is σ = 47232000. Its totient is φ = 6595992.

The previous prime is 20387201. The next prime is 20387219. The reversal of 20387214 is 41278302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20387219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258027 + ... + 258105.

It is an arithmetic number, because the mean of its divisors is an integer number (738000).

Almost surely, 220387214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20387214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23616000).

20387214 is an abundant number, since it is smaller than the sum of its proper divisors (26844786).

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

20387214 is an frugal number, since it uses more digits than its factorization.

20387214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20387214 is about 4515.2202604081. The cubic root of 20387214 is about 273.1823440661.

The spelling of 20387214 in words is "twenty million, three hundred eighty-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 59 79 81 118 158 162 177 237 243 354 474 486 531 711 729 1062 1422 1458 1593 2133 2187 3186 4266 4374 4661 4779 6399 9322 9558 12798 13983 14337 19197 27966 28674 38394 41949 43011 57591 83898 86022 115182 125847 129033 172773 251694 258066 345546 377541 755082 1132623 2265246 3397869 6795738 10193607 20387214