Search a number
-
+
19685820 = 22357114261
BaseRepresentation
bin100101100011…
…0000110111100
31101001010212110
41023012012330
520014421240
61541534020
7326220030
oct113060674
941033773
1019685820
1110126280
126714310
13410341b
1428861c0
151adcc80
hex12c61bc

19685820 has 96 divisors (see below), whose sum is σ = 68737536. Its totient is φ = 4089600.

The previous prime is 19685819. The next prime is 19685833. The reversal of 19685820 is 2858691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490 + ... + 6750.

It is an arithmetic number, because the mean of its divisors is an integer number (716016).

Almost surely, 219685820 is an apocalyptic number.

19685820 is a gapful number since it is divisible by the number (10) 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 19685820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34368768).

19685820 is an abundant number, since it is smaller than the sum of its proper divisors (49051716).

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

19685820 is a wasteful number, since it uses less digits than its factorization.

19685820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 19685820 is about 4436.8705187328. The cubic root of 19685820 is about 270.0128937601.

It can be divided in two parts, 196858 and 20, that added together give a triangular number (196878 = T627).

The spelling of 19685820 in words is "nineteen million, six hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4261 4620 8522 12783 17044 21305 25566 29827 42610 46871 51132 59654 63915 85220 89481 93742 119308 127830 140613 149135 178962 187484 234355 255660 281226 298270 328097 357924 447405 468710 562452 596540 656194 703065 894810 937420 984291 1312388 1406130 1640485 1789620 1968582 2812260 3280970 3937164 4921455 6561940 9842910 19685820