Search a number
-
+
11055135 = 357213289
BaseRepresentation
bin101010001011…
…000000011111
3202210122210110
4222023000133
510312231020
61032541103
7162652500
oct52130037
922718713
1011055135
116270983
123851793
1323a0c00
14167aba7
15e858e0
hexa8b01f

11055135 has 72 divisors (see below), whose sum is σ = 22530960. Its totient is φ = 4612608.

The previous prime is 11055113. The next prime is 11055137. The reversal of 11055135 is 53155011.

It is not a de Polignac number, because 11055135 - 26 = 11055071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124171 + ... + 124259.

It is an arithmetic number, because the mean of its divisors is an integer number (312930).

Almost surely, 211055135 is an apocalyptic number.

11055135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11055135 is an abundant number, since it is smaller than the sum of its proper divisors (11475825).

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

11055135 is a wasteful number, since it uses less digits than its factorization.

11055135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 11055135 is about 3324.9263149730. The cubic root of 11055135 is about 222.7689631297.

The spelling of 11055135 in words is "eleven million, fifty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 89 91 105 147 169 195 245 267 273 445 455 507 623 637 735 845 1157 1183 1335 1365 1869 1911 2535 3115 3185 3471 3549 4361 5785 5915 8099 8281 9345 9555 13083 15041 17355 17745 21805 24297 24843 40495 41405 45123 56693 65415 75205 105287 121485 124215 170079 225615 283465 315861 526435 737009 850395 1579305 2211027 3685045 11055135