Search a number
-
+
10190320 = 245731587
BaseRepresentation
bin100110110111…
…110111110000
3201011201111021
4212313313300
510102042240
61002225224
7152421250
oct46676760
921151437
1010190320
115830158
1234b5214
13215a39a
1414d3960
15d6454a
hex9b7df0

10190320 has 80 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 3375360.

The previous prime is 10190309. The next prime is 10190321. The reversal of 10190320 is 2309101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10190294 and 10190303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17067 + ... + 17653.

Almost surely, 210190320 is an apocalyptic number.

10190320 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 10190320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

10190320 is an abundant number, since it is smaller than the sum of its proper divisors (17807888).

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

10190320 is a wasteful number, since it uses less digits than its factorization.

10190320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10190320 is about 3192.2280620282. The cubic root of 10190320 is about 216.8016620924.

Adding to 10190320 its reverse (2309101), we get a palindrome (12499421).

The spelling of 10190320 in words is "ten million, one hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 587 620 868 1085 1174 1240 1736 2170 2348 2480 2935 3472 4109 4340 4696 5870 8218 8680 9392 11740 16436 17360 18197 20545 23480 32872 36394 41090 46960 65744 72788 82180 90985 127379 145576 164360 181970 254758 291152 328720 363940 509516 636895 727880 1019032 1273790 1455760 2038064 2547580 5095160 10190320