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20146456 = 2311474871
BaseRepresentation
bin100110011011…
…0100100011000
31101220112202001
41030312210120
520124141311
61555450344
7333146011
oct114664430
941815661
1020146456
1110410370
1268b69b4
134234ca5
142966008
151b7e4c1
hex1336918

20146456 has 32 divisors (see below), whose sum is σ = 42094080. Its totient is φ = 8960800.

The previous prime is 20146453. The next prime is 20146471. The reversal of 20146456 is 65464102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20146453) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1701 + ... + 6571.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 220146456 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 20146456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047040).

20146456 is an abundant number, since it is smaller than the sum of its proper divisors (21947624).

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

20146456 is a wasteful number, since it uses less digits than its factorization.

20146456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 20146456 is about 4488.4803664492. The cubic root of 20146456 is about 272.1027221589.

It can be divided in two parts, 20146 and 456, that added together give a palindrome (20602).

The spelling of 20146456 in words is "twenty million, one hundred forty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 4871 9742 19484 38968 53581 107162 214324 228937 428648 457874 915748 1831496 2518307 5036614 10073228 20146456