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19324672 = 281929137
BaseRepresentation
bin100100110110…
…1111100000000
31100100210110121
41021231330000
514421342142
61530110024
7323154103
oct111557400
940323417
1019324672
11a9a9a04
12657b314
134007c23
1427d073a
151a6ac67
hex126df00

19324672 has 72 divisors (see below), whose sum is σ = 42310800. Its totient is φ = 8773632.

The previous prime is 19324667. The next prime is 19324681. The reversal of 19324672 is 27642391.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 140988 + ... + 141124.

It is an arithmetic number, because the mean of its divisors is an integer number (587650).

Almost surely, 219324672 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 19324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21155400).

19324672 is an abundant number, since it is smaller than the sum of its proper divisors (22986128).

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

19324672 is a wasteful number, since it uses less digits than its factorization.

19324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 19324672 is about 4395.9836214436. The cubic root of 19324672 is about 268.3515102416.

The spelling of 19324672 in words is "nineteen million, three hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 137 152 232 256 274 304 464 548 551 608 928 1096 1102 1216 1856 2192 2204 2432 2603 3712 3973 4384 4408 4864 5206 7424 7946 8768 8816 10412 15892 17536 17632 20824 31784 35072 35264 41648 63568 70528 75487 83296 127136 141056 150974 166592 254272 301948 333184 508544 603896 666368 1017088 1207792 2415584 4831168 9662336 19324672