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11149398 = 23213293153
BaseRepresentation
bin101010100010…
…000001010110
3202222110002200
4222202001112
510323240043
61034545330
7163524351
oct52420126
922873080
1011149398
116325787
123898246
132404aa0
1416a3298
15ea37d3
hexaa2056

11149398 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3144960.

The previous prime is 11149393. The next prime is 11149459. The reversal of 11149398 is 89394111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11149393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210340 + ... + 210392.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 211149398 is an apocalyptic number.

11149398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11149398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11149398 is an abundant number, since it is smaller than the sum of its proper divisors (17155242).

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

11149398 is a wasteful number, since it uses less digits than its factorization.

11149398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 11149398 is about 3339.0714278074. The cubic root of 11149398 is about 223.4003279124.

The spelling of 11149398 in words is "eleven million, one hundred forty-nine thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 29 31 39 53 58 62 78 87 93 106 117 159 174 186 234 261 279 318 377 403 477 522 558 689 754 806 899 954 1131 1209 1378 1537 1643 1798 2067 2262 2418 2697 3074 3286 3393 3627 4134 4611 4929 5394 6201 6786 7254 8091 9222 9858 11687 12402 13833 14787 16182 19981 21359 23374 27666 29574 35061 39962 42718 47647 59943 64077 70122 95294 105183 119886 128154 142941 179829 192231 210366 285882 359658 384462 428823 619411 857646 1238822 1858233 3716466 5574699 11149398