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19946340 = 22325110813
BaseRepresentation
bin100110000010…
…1101101100100
31101112101020100
41030011231210
520101240330
61551304100
7331353411
oct114055544
941471210
1019946340
1110293a87
12681b030
134194b8b
142913108
151b40060
hex1305b64

19946340 has 36 divisors (see below), whose sum is σ = 60504444. Its totient is φ = 5318976.

The previous prime is 19946323. The next prime is 19946347. The reversal of 19946340 is 4364991.

19946340 is a `hidden beast` number, since 19 + 9 + 4 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 13351716 = 2568^2 + 3654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19946295 and 19946304.

It is not an unprimeable number, because it can be changed into a prime (19946347) 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 11 ways as a sum of consecutive naturals, for example, 55227 + ... + 55586.

It is an arithmetic number, because the mean of its divisors is an integer number (1680679).

Almost surely, 219946340 is an apocalyptic number.

19946340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19946340 is an abundant number, since it is smaller than the sum of its proper divisors (40558104).

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

19946340 is a wasteful number, since it uses less digits than its factorization.

19946340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110828 (or 110823 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 19946340 is about 4466.1325551309. The cubic root of 19946340 is about 271.1987848120.

The spelling of 19946340 in words is "nineteen million, nine hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 110813 221626 332439 443252 554065 664878 997317 1108130 1329756 1662195 1994634 2216260 3324390 3989268 4986585 6648780 9973170 19946340