Search a number
-
+
10268055 = 325737881
BaseRepresentation
bin100111001010…
…110110010111
3201022200010100
4213022312113
510112034210
61004025143
7153164010
oct47126627
921280110
1010268055
1158835a6
1235321b3
132186895
141514007
15d7c5c0
hex9cad97

10268055 has 48 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 4561920.

The previous prime is 10268047. The next prime is 10268087. The reversal of 10268055 is 55086201.

It is not a de Polignac number, because 10268055 - 23 = 10268047 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11215 + ... + 12095.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 210268055 is an apocalyptic number.

10268055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10268055 is an abundant number, since it is smaller than the sum of its proper divisors (10645929).

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

10268055 is a wasteful number, since it uses less digits than its factorization.

10268055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10268055 is about 3204.3805953725. The cubic root of 10268055 is about 217.3515435601.

The spelling of 10268055 in words is "ten million, two hundred sixty-eight thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 881 1295 1665 2331 2643 3885 4405 6167 7929 11655 13215 18501 30835 32597 39645 55503 92505 97791 162985 228179 277515 293373 488955 684537 1140895 1466865 2053611 3422685 10268055