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20406312 = 23321392039
BaseRepresentation
bin100110111011…
…0000000101000
31102101202012100
41031312000220
520211000222
62005213400
7335310423
oct115660050
942352170
1020406312
1110578623
126a01260
1342c6354
1429d29ba
151bd14ac
hex1376028

20406312 has 48 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 6749856.

The previous prime is 20406311. The next prime is 20406329. The reversal of 20406312 is 21360402.

It is a happy number.

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 (20406311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8989 + ... + 11027.

It is an arithmetic number, because the mean of its divisors is an integer number (1160250).

Almost surely, 220406312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20406312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

20406312 is an abundant number, since it is smaller than the sum of its proper divisors (35285688).

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

20406312 is a wasteful number, since it uses less digits than its factorization.

20406312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20406312 is about 4517.3346123572. The cubic root of 20406312 is about 273.2676198694.

Adding to 20406312 its reverse (21360402), we get a palindrome (41766714).

The spelling of 20406312 in words is "twenty million, four hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2039 2502 3336 4078 5004 6117 8156 10008 12234 16312 18351 24468 36702 48936 73404 146808 283421 566842 850263 1133684 1700526 2267368 2550789 3401052 5101578 6802104 10203156 20406312