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19996672 = 2132441
BaseRepresentation
bin100110001001…
…0000000000000
31101121221021111
41030102000000
520104343142
61552333104
7331653223
oct114220000
941557244
1019996672
1110318883
126844194
1341b1a67
1429275ba
151b4ee17
hex1312000

19996672 has 28 divisors (see below), whose sum is σ = 40007286. Its totient is φ = 9994240.

The previous prime is 19996663. The next prime is 19996733. The reversal of 19996672 is 27669991.

It can be written as a sum of positive squares in only one way, i.e., 19501056 + 495616 = 4416^2 + 704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6972 + ... + 9412.

Almost surely, 219996672 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 19996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003643).

19996672 is an abundant number, since it is smaller than the sum of its proper divisors (20010614).

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

19996672 is an frugal number, since it uses more digits than its factorization.

19996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2443 counting only the distinct ones).

The product of its digits is 367416, while the sum is 49.

The square root of 19996672 is about 4471.7638578082. The cubic root of 19996672 is about 271.4267048546.

The spelling of 19996672 in words is "nineteen million, nine hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2441 4096 4882 8192 9764 19528 39056 78112 156224 312448 624896 1249792 2499584 4999168 9998336 19996672