Search a number
-
+
10295208 = 2333711619
BaseRepresentation
bin100111010001…
…011110101000
3201101001101000
4213101132220
510113421313
61004355000
7153336120
oct47213650
921331330
1010295208
1158a1a40
123545a60
132196051
14151dc80
15d85673
hex9d17a8

10295208 has 128 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 2669760.

The previous prime is 10295179. The next prime is 10295227. The reversal of 10295208 is 80259201.

10295208 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

10295208 is strictly pandigital in base 8.

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, 16323 + ... + 16941.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 210295208 is an apocalyptic number.

10295208 is a gapful number since it is divisible by the number (18) 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 10295208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

10295208 is an abundant number, since it is smaller than the sum of its proper divisors (25416792).

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

10295208 is a wasteful number, since it uses less digits than its factorization.

10295208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10295208 is about 3208.6146543329. The cubic root of 10295208 is about 217.5429641641.

The spelling of 10295208 in words is "ten million, two hundred ninety-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 619 693 756 792 924 1188 1238 1386 1512 1848 1857 2079 2376 2476 2772 3714 4158 4333 4952 5544 5571 6809 7428 8316 8666 11142 12999 13618 14856 16632 16713 17332 20427 22284 25998 27236 33426 34664 38997 40854 44568 47663 51996 54472 61281 66852 77994 81708 95326 103992 116991 122562 133704 142989 155988 163416 183843 190652 233982 245124 285978 311976 367686 381304 428967 467964 490248 571956 735372 857934 935928 1143912 1286901 1470744 1715868 2573802 3431736 5147604 10295208