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20145006 = 2327612621
BaseRepresentation
bin100110011011…
…0001101101110
31101220110202100
41030312031232
520124120011
61555435530
7333141540
oct114661556
941813670
1020145006
111040a272
1268b5ba6
13423442b
142965690
151b7dd56
hex133636e

20145006 has 48 divisors (see below), whose sum is σ = 50719968. Its totient is φ = 5659200.

The previous prime is 20144989. The next prime is 20145029. The reversal of 20145006 is 60054102.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20145006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6376 + ... + 8996.

It is an arithmetic number, because the mean of its divisors is an integer number (1056666).

Almost surely, 220145006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20145006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359984).

20145006 is an abundant number, since it is smaller than the sum of its proper divisors (30574962).

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

20145006 is a wasteful number, since it uses less digits than its factorization.

20145006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20145006 is about 4488.3188389418. The cubic root of 20145006 is about 272.0961939898.

Adding to 20145006 its reverse (60054102), we get a palindrome (80199108).

The spelling of 20145006 in words is "twenty million, one hundred forty-five thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 2621 3843 5242 7686 7863 15726 18347 23589 36694 47178 55041 110082 159881 165123 319762 330246 479643 959286 1119167 1438929 2238334 2877858 3357501 6715002 10072503 20145006