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11021292 = 22331941131
BaseRepresentation
bin101010000010…
…101111101100
3202201221101000
4222002233230
510310140132
61032120300
7162452022
oct52025754
922657330
1011021292
116248507
123836090
13238b699
14166c712
15e7a87c
hexa82bec

11021292 has 96 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 3369600.

The previous prime is 11021291. The next prime is 11021293. The reversal of 11021292 is 29212011.

11021292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11021291) and next prime (11021293).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11021291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84067 + ... + 84197.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 211021292 is an apocalyptic number.

11021292 is a gapful number since it is divisible by the number (12) 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 11021292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

11021292 is an abundant number, since it is smaller than the sum of its proper divisors (20025108).

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

11021292 is a wasteful number, since it uses less digits than its factorization.

11021292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11021292 is about 3319.8331283364. The cubic root of 11021292 is about 222.5414104635.

The spelling of 11021292 in words is "eleven million, twenty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 54 57 76 82 108 114 123 131 164 171 228 246 262 342 369 393 492 513 524 684 738 779 786 1026 1107 1179 1476 1558 1572 2052 2214 2337 2358 2489 3116 3537 4428 4674 4716 4978 5371 7011 7074 7467 9348 9956 10742 14022 14148 14934 16113 21033 21484 22401 28044 29868 32226 42066 44802 48339 64452 67203 84132 89604 96678 102049 134406 145017 193356 204098 268812 290034 306147 408196 580068 612294 918441 1224588 1836882 2755323 3673764 5510646 11021292