Search a number
-
+
10109340 = 2233597193
BaseRepresentation
bin100110100100…
…000110011100
3201000121102000
4212210012130
510041444330
61000402300
7151633203
oct46440634
921017360
1010109340
11578532a
123476390
13212c577
1414b223a
15d4a560
hex9a419c

10109340 has 96 divisors (see below), whose sum is σ = 31940160. Its totient is φ = 2654208.

The previous prime is 10109321. The next prime is 10109369. The reversal of 10109340 is 4390101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 52284 + ... + 52476.

It is an arithmetic number, because the mean of its divisors is an integer number (332710).

Almost surely, 210109340 is an apocalyptic number.

10109340 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 10109340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970080).

10109340 is an abundant number, since it is smaller than the sum of its proper divisors (21830820).

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

10109340 is a wasteful number, since it uses less digits than its factorization.

10109340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10109340 is about 3179.5188315215. The cubic root of 10109340 is about 216.2258440279.

Adding to 10109340 its reverse (4390101), we get a palindrome (14499441).

The spelling of 10109340 in words is "ten million, one hundred nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 193 194 270 291 386 388 485 540 579 582 772 873 965 970 1158 1164 1455 1737 1746 1930 1940 2316 2619 2895 2910 3474 3492 3860 4365 5211 5238 5790 5820 6948 8685 8730 10422 10476 11580 13095 17370 17460 18721 20844 26055 26190 34740 37442 52110 52380 56163 74884 93605 104220 112326 168489 187210 224652 280815 336978 374420 505467 561630 673956 842445 1010934 1123260 1684890 2021868 2527335 3369780 5054670 10109340