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20405346 = 23131311997
BaseRepresentation
bin100110111010…
…1110001100010
31102101200212120
41031311301202
520210432341
62005205110
7335304543
oct115656142
942350776
1020405346
1110577925
126a00796
1342c5a90
1429d24ca
151bd1066
hex1375c62

20405346 has 32 divisors (see below), whose sum is σ = 44307648. Its totient is φ = 6227520.

The previous prime is 20405323. The next prime is 20405351. The reversal of 20405346 is 64350402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9220 + ... + 11216.

It is an arithmetic number, because the mean of its divisors is an integer number (1384614).

Almost surely, 220405346 is an apocalyptic number.

20405346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20405346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22153824).

20405346 is an abundant number, since it is smaller than the sum of its proper divisors (23902302).

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

20405346 is a wasteful number, since it uses less digits than its factorization.

20405346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20405346 is about 4517.2276896344. The cubic root of 20405346 is about 273.2633077937.

Adding to 20405346 its reverse (64350402), we get a palindrome (84755748).

The spelling of 20405346 in words is "twenty million, four hundred five thousand, three hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 1997 3406 3994 5109 5991 10218 11982 25961 51922 77883 155766 261607 523214 784821 1569642 3400891 6801782 10202673 20405346