Search a number
-
+
10109720 = 235312263
BaseRepresentation
bin100110100100…
…001100011000
3201000121221002
4212210030120
510042002340
61000404132
7151634255
oct46441430
921017832
1010109720
115785645
123476648
13212c7aa
1414b242c
15d4a715
hex9a4318

10109720 has 48 divisors (see below), whose sum is σ = 23593680. Its totient is φ = 3898560.

The previous prime is 10109717. The next prime is 10109753. The reversal of 10109720 is 2790101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10109692 and 10109701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38309 + ... + 38571.

It is an arithmetic number, because the mean of its divisors is an integer number (491535).

Almost surely, 210109720 is an apocalyptic number.

10109720 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 10109720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796840).

10109720 is an abundant number, since it is smaller than the sum of its proper divisors (13483960).

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

10109720 is a wasteful number, since it uses less digits than its factorization.

10109720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 10109720 is about 3179.5785884296. The cubic root of 10109720 is about 216.2285532319.

Adding to 10109720 its reverse (2790101), we get a palindrome (12899821).

The spelling of 10109720 in words is "ten million, one hundred nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 263 310 526 620 961 1052 1240 1315 1922 2104 2630 3844 4805 5260 7688 8153 9610 10520 16306 19220 32612 38440 40765 65224 81530 163060 252743 326120 505486 1010972 1263715 2021944 2527430 5054860 10109720