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11029860 = 22325292113
BaseRepresentation
bin101010000100…
…110101100100
3202202101010100
4222010311210
510310423420
61032224100
7162516012
oct52046544
922671110
1011029860
116253996
12383b030
13239255a
1416718b2
15e7d190
hexa84d64

11029860 has 72 divisors (see below), whose sum is σ = 34627320. Its totient is φ = 2838528.

The previous prime is 11029853. The next prime is 11029867. The reversal of 11029860 is 6892011.

It is an interprime number because it is at equal distance from previous prime (11029853) and next prime (11029867).

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 11009124 = 144^2 + 3318^2 .

It is not an unprimeable number, because it can be changed into a prime (11029867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4164 + ... + 6276.

It is an arithmetic number, because the mean of its divisors is an integer number (480935).

Almost surely, 211029860 is an apocalyptic number.

11029860 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 11029860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313660).

11029860 is an abundant number, since it is smaller than the sum of its proper divisors (23597460).

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

11029860 is a wasteful number, since it uses less digits than its factorization.

11029860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11029860 is about 3321.1233039440. The cubic root of 11029860 is about 222.5990637440.

The spelling of 11029860 in words is "eleven million, twenty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2113 2610 4226 5220 6339 8452 10565 12678 19017 21130 25356 31695 38034 42260 61277 63390 76068 95085 122554 126780 183831 190170 245108 306385 367662 380340 551493 612770 735324 919155 1102986 1225540 1838310 2205972 2757465 3676620 5514930 11029860