Search a number
-
+
19808712 = 2334711397
BaseRepresentation
bin100101110010…
…0000111001000
31101021101110000
41023210013020
520032334322
61544323000
7330241230
oct113440710
941241400
1019808712
11101aa640
126773460
134147341
1428b8cc0
151b143ac
hex12e41c8

19808712 has 160 divisors (see below), whose sum is σ = 69347520. Its totient is φ = 5132160.

The previous prime is 19808707. The next prime is 19808717. The reversal of 19808712 is 21780891.

It is an interprime number because it is at equal distance from previous prime (19808707) and next prime (19808717).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19808717) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49698 + ... + 50094.

It is an arithmetic number, because the mean of its divisors is an integer number (433422).

Almost surely, 219808712 is an apocalyptic number.

19808712 is a gapful number since it is divisible by the number (12) 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 19808712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673760).

19808712 is an abundant number, since it is smaller than the sum of its proper divisors (49538808).

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

19808712 is a wasteful number, since it uses less digits than its factorization.

19808712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 19808712 is about 4450.6979227982. The cubic root of 19808712 is about 270.5735953902.

The spelling of 19808712 in words is "nineteen million, eight hundred eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 397 462 504 567 594 616 648 693 756 792 794 891 924 1134 1188 1191 1386 1512 1588 1782 1848 2079 2268 2376 2382 2772 2779 3176 3564 3573 4158 4367 4536 4764 5544 5558 6237 7128 7146 8316 8337 8734 9528 10719 11116 12474 13101 14292 16632 16674 17468 21438 22232 24948 25011 26202 28584 30569 32157 33348 34936 39303 42876 49896 50022 52404 61138 64314 66696 75033 78606 85752 91707 100044 104808 117909 122276 128628 150066 157212 183414 200088 225099 235818 244552 257256 275121 300132 314424 353727 366828 450198 471636 550242 600264 707454 733656 825363 900396 943272 1100484 1414908 1650726 1800792 2200968 2476089 2829816 3301452 4952178 6602904 9904356 19808712