Search a number
-
+
19390320 = 2433547191
BaseRepresentation
bin100100111110…
…1111101110000
31100111010112000
41021331331300
514430442240
61531334000
7323546355
oct111757560
940433460
1019390320
11aa44264
1265b1300
13402ba81
14280a62c
151a80430
hex127df70

19390320 has 160 divisors (see below), whose sum is σ = 68567040. Its totient is φ = 5034240.

The previous prime is 19390303. The next prime is 19390339. The reversal of 19390320 is 2309391.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 101425 + ... + 101615.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 219390320 is an apocalyptic number.

19390320 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 19390320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283520).

19390320 is an abundant number, since it is smaller than the sum of its proper divisors (49176720).

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

19390320 is a wasteful number, since it uses less digits than its factorization.

19390320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 19390320 is about 4403.4441066056. Note that the first 3 decimals coincide. The cubic root of 19390320 is about 268.6550398237.

The spelling of 19390320 in words is "nineteen million, three hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 191 216 235 240 270 282 360 376 382 423 432 470 540 564 573 705 720 752 764 846 940 955 1080 1128 1146 1269 1410 1528 1692 1719 1880 1910 2115 2160 2256 2292 2538 2820 2865 3056 3384 3438 3760 3820 4230 4584 5076 5157 5640 5730 6345 6768 6876 7640 8460 8595 8977 9168 10152 10314 11280 11460 12690 13752 15280 16920 17190 17954 20304 20628 22920 25380 25785 26931 27504 33840 34380 35908 41256 44885 45840 50760 51570 53862 68760 71816 80793 82512 89770 101520 103140 107724 134655 137520 143632 161586 179540 206280 215448 242379 269310 323172 359080 403965 412560 430896 484758 538620 646344 718160 807930 969516 1077240 1211895 1292688 1615860 1939032 2154480 2423790 3231720 3878064 4847580 6463440 9695160 19390320