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19420632 = 233271131113
BaseRepresentation
bin100101000010…
…1010111011000
31100112200002200
41022011113120
514432430012
61532130200
7324033630
oct112052730
940480080
1019420632
11aa65010
126606960
13403c7ca
1428176c0
151a893dc
hex12855d8

19420632 has 192 divisors, whose sum is σ = 68290560. Its totient is φ = 4838400.

The previous prime is 19420591. The next prime is 19420637. The reversal of 19420632 is 23602491.

19420632 is a `hidden beast` number, since 1 + 9 + 4 + 20 + 632 = 666.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 19420596 and 19420605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19420637) 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 47 ways as a sum of consecutive naturals, for example, 171808 + ... + 171920.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 219420632 is an apocalyptic number.

19420632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19420632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34145280).

19420632 is an abundant number, since it is smaller than the sum of its proper divisors (48869928).

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

19420632 is a wasteful number, since it uses less digits than its factorization.

19420632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 19420632 is about 4406.8846138741. The cubic root of 19420632 is about 268.7949589828.

The spelling of 19420632 in words is "nineteen million, four hundred twenty thousand, six hundred thirty-two".