Search a number
-
+
20400012 = 223479797
BaseRepresentation
bin100110111010…
…0011110001100
31102101102120000
41031310132030
520210300022
62005124300
7335253153
oct115643614
942342500
1020400012
1110573916
1269b9690
1342c3519
1429d059a
151bce6ac
hex137478c

20400012 has 60 divisors (see below), whose sum is σ = 54072480. Its totient is φ = 6705504.

The previous prime is 20399993. The next prime is 20400013. The reversal of 20400012 is 21000402.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20399967 and 20400003.

It is not an unprimeable number, because it can be changed into a prime (20400013) 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 19 ways as a sum of consecutive naturals, for example, 25198 + ... + 25994.

It is an arithmetic number, because the mean of its divisors is an integer number (901208).

Almost surely, 220400012 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 20400012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27036240).

20400012 is an abundant number, since it is smaller than the sum of its proper divisors (33672468).

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

20400012 is a wasteful number, since it uses less digits than its factorization.

20400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20400012 is about 4516.6372446766. The cubic root of 20400012 is about 273.2394951858.

Adding to 20400012 its reverse (21000402), we get a palindrome (41400414).

The spelling of 20400012 in words is "twenty million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 797 948 1422 1594 2133 2391 2844 3188 4266 4782 6399 7173 8532 9564 12798 14346 21519 25596 28692 43038 62963 64557 86076 125926 129114 188889 251852 258228 377778 566667 755556 1133334 1700001 2266668 3400002 5100003 6800004 10200006 20400012