Search a number
-
+
19640320 = 21257137
BaseRepresentation
bin100101011101…
…1000000000000
31100221211110021
41022323000000
520011442240
61540543224
7325640260
oct112730000
940854407
1019640320
11100a5077
1266b1b14
1340b87bb
1428737a0
151ace54a
hex12bb000

19640320 has 104 divisors (see below), whose sum is σ = 54257184. Its totient is φ = 6684672.

The previous prime is 19640311. The next prime is 19640323. The reversal of 19640320 is 2304691.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (19640323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143292 + ... + 143428.

Almost surely, 219640320 is an apocalyptic number.

19640320 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 19640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27128592).

19640320 is an abundant number, since it is smaller than the sum of its proper divisors (34616864).

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

19640320 is an equidigital number, since it uses as much as digits as its factorization.

19640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 19640320 is about 4431.7400645796. The cubic root of 19640320 is about 269.8047055973.

The spelling of 19640320 in words is "nineteen million, six hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 137 140 160 224 256 274 280 320 448 512 548 560 640 685 896 959 1024 1096 1120 1280 1370 1792 1918 2048 2192 2240 2560 2740 3584 3836 4096 4384 4480 4795 5120 5480 7168 7672 8768 8960 9590 10240 10960 14336 15344 17536 17920 19180 20480 21920 28672 30688 35072 35840 38360 43840 61376 70144 71680 76720 87680 122752 140288 143360 153440 175360 245504 280576 306880 350720 491008 561152 613760 701440 982016 1227520 1402880 1964032 2455040 2805760 3928064 4910080 9820160 19640320