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19730432 = 2124817
BaseRepresentation
bin100101101000…
…1000000000000
31101010102001202
41023101000000
520022333212
61542520332
7326464061
oct113210000
941112052
1019730432
1110156847
1267360a8
13411a817
142898568
151aeb0c2
hex12d1000

19730432 has 26 divisors (see below), whose sum is σ = 39464238. Its totient is φ = 9863168.

The previous prime is 19730419. The next prime is 19730437. The reversal of 19730432 is 23403791.

It can be written as a sum of positive squares in only one way, i.e., 12845056 + 6885376 = 3584^2 + 2624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19730395 and 19730404.

It is not an unprimeable number, because it can be changed into a prime (19730437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1688 + ... + 6504.

Almost surely, 219730432 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 19730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19732119).

19730432 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

19730432 is an frugal number, since it uses more digits than its factorization.

19730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 19730432 is about 4441.8950910619. The cubic root of 19730432 is about 270.2167075924.

The spelling of 19730432 in words is "nineteen million, seven hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4817 9634 19268 38536 77072 154144 308288 616576 1233152 2466304 4932608 9865216 19730432