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11155040 = 2551331173
BaseRepresentation
bin101010100011…
…011001100000
3202222201211122
4222203121200
510323430130
61035031412
7163546661
oct52433140
922881748
1011155040
116329a46
12389b568
132407520
1416a5368
15ea52e5
hexaa3660

11155040 has 96 divisors (see below), whose sum is σ = 29465856. Its totient is φ = 3962880.

The previous prime is 11154991. The next prime is 11155049. The reversal of 11155040 is 4055111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64394 + ... + 64566.

It is an arithmetic number, because the mean of its divisors is an integer number (306936).

Almost surely, 211155040 is an apocalyptic number.

11155040 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 11155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732928).

11155040 is an abundant number, since it is smaller than the sum of its proper divisors (18310816).

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

11155040 is a wasteful number, since it uses less digits than its factorization.

11155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 11155040 is about 3339.9161666126. The cubic root of 11155040 is about 223.4380044490.

The spelling of 11155040 in words is "eleven million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 173 208 248 260 310 346 403 416 496 520 620 692 806 865 992 1040 1240 1384 1612 1730 2015 2080 2249 2480 2768 3224 3460 4030 4498 4960 5363 5536 6448 6920 8060 8996 10726 11245 12896 13840 16120 17992 21452 22490 26815 27680 32240 35984 42904 44980 53630 64480 69719 71968 85808 89960 107260 139438 171616 179920 214520 278876 348595 359840 429040 557752 697190 858080 1115504 1394380 2231008 2788760 5577520 11155040