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19716424 = 2372135373
BaseRepresentation
bin100101100110…
…1100101001000
31101002200211221
41023031211020
520021411144
61542331424
7326405200
oct113154510
941080757
1019716424
1110147272
126729b74
134114330
142893400
151ae6d84
hex12cd948

19716424 has 96 divisors (see below), whose sum is σ = 47832120. Its totient is φ = 7547904.

The previous prime is 19716421. The next prime is 19716427. The reversal of 19716424 is 42461791.

It is an interprime number because it is at equal distance from previous prime (19716421) and next prime (19716427).

It can be written as a sum of positive squares in 4 ways, for example, as 16144324 + 3572100 = 4018^2 + 1890^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19716424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19716421) 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 23 ways as a sum of consecutive naturals, for example, 270052 + ... + 270124.

Almost surely, 219716424 is an apocalyptic number.

19716424 is a gapful number since it is divisible by the number (14) 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 19716424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23916060).

19716424 is an abundant number, since it is smaller than the sum of its proper divisors (28115696).

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

19716424 is a wasteful number, since it uses less digits than its factorization.

19716424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 19716424 is about 4440.3180066297. The cubic root of 19716424 is about 270.1527439349.

The spelling of 19716424 in words is "nineteen million, seven hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 53 56 73 91 98 104 106 146 182 196 212 292 364 371 392 424 511 584 637 689 728 742 949 1022 1274 1378 1484 1898 2044 2548 2597 2756 2968 3577 3796 3869 4088 4823 5096 5194 5512 6643 7154 7592 7738 9646 10388 13286 14308 15476 19292 20776 26572 27083 28616 30952 33761 38584 46501 50297 53144 54166 67522 93002 100594 108332 135044 186004 189581 201188 216664 270088 352079 372008 379162 402376 704158 758324 1408316 1516648 2464553 2816632 4929106 9858212 19716424