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19612672 = 210107179
BaseRepresentation
bin100101011010…
…0010000000000
31100220102112021
41022310100000
520010101142
61540211224
7325463542
oct112642000
940812467
1019612672
1110086322
126699b14
1340a9041
142867692
151ac6267
hex12b4400

19612672 has 44 divisors (see below), whose sum is σ = 39793680. Its totient is φ = 9660416.

The previous prime is 19612667. The next prime is 19612673. The reversal of 19612672 is 27621691.

It is not an unprimeable number, because it can be changed into a prime (19612673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109479 + ... + 109657.

Almost surely, 219612672 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 19612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896840).

19612672 is an abundant number, since it is smaller than the sum of its proper divisors (20181008).

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

19612672 is a wasteful number, since it uses less digits than its factorization.

19612672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 19612672 is about 4428.6196495071. The cubic root of 19612672 is about 269.6780433101.

The spelling of 19612672 in words is "nineteen million, six hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 107 128 179 214 256 358 428 512 716 856 1024 1432 1712 2864 3424 5728 6848 11456 13696 19153 22912 27392 38306 45824 54784 76612 91648 109568 153224 183296 306448 612896 1225792 2451584 4903168 9806336 19612672