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11212830 = 2345109127
BaseRepresentation
bin101010110001…
…100000011110
3210002200010000
4222301200132
510332302310
61040155130
7164210316
oct52614036
923080100
1011212830
116369402
123908aa6
132427915
1416bc446
15eb74c0
hexab181e

11212830 has 80 divisors (see below), whose sum is σ = 30666240. Its totient is φ = 2939328.

The previous prime is 11212823. The next prime is 11212849. The reversal of 11212830 is 3821211.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 88227 + ... + 88353.

It is an arithmetic number, because the mean of its divisors is an integer number (383328).

Almost surely, 211212830 is an apocalyptic number.

11212830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333120).

11212830 is an abundant number, since it is smaller than the sum of its proper divisors (19453410).

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

11212830 is a wasteful number, since it uses less digits than its factorization.

11212830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11212830 is about 3348.5564053783. The cubic root of 11212830 is about 223.8231890238.

The spelling of 11212830 in words is "eleven million, two hundred twelve thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 127 135 162 218 254 270 327 381 405 545 635 654 762 810 981 1090 1143 1270 1635 1905 1962 2286 2943 3270 3429 3810 4905 5715 5886 6858 8829 9810 10287 11430 13843 14715 17145 17658 20574 27686 29430 34290 41529 44145 51435 69215 83058 88290 102870 124587 138430 207645 249174 373761 415290 622935 747522 1121283 1245870 1868805 2242566 3737610 5606415 11212830