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11442096 = 2432181439
BaseRepresentation
bin101011101001…
…011110110000
3210112022121100
4223221132300
510412121341
61045124400
7166153611
oct53513660
923468540
1011442096
116505686
1239b9700
1324a8093
14173bc08
1510103b6
hexae97b0

11442096 has 60 divisors (see below), whose sum is σ = 32272240. Its totient is φ = 3784320.

The previous prime is 11442083. The next prime is 11442097. The reversal of 11442096 is 69024411.

It is not an unprimeable number, because it can be changed into a prime (11442097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25845 + ... + 26283.

Almost surely, 211442096 is an apocalyptic number.

11442096 is a gapful number since it is divisible by the number (16) 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 11442096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136120).

11442096 is an abundant number, since it is smaller than the sum of its proper divisors (20830144).

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

11442096 is a wasteful number, since it uses less digits than its factorization.

11442096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11442096 is about 3382.6167385620. The cubic root of 11442096 is about 225.3383945115.

It can be divided in two parts, 1144 and 2096, that added together give a triangular number (3240 = T80).

The spelling of 11442096 in words is "eleven million, four hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 439 543 724 878 1086 1317 1448 1629 1756 2172 2634 2896 3258 3512 3951 4344 5268 6516 7024 7902 8688 10536 13032 15804 21072 26064 31608 63216 79459 158918 238377 317836 476754 635672 715131 953508 1271344 1430262 1907016 2860524 3814032 5721048 11442096