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11129496 = 2337312137
BaseRepresentation
bin101010011101…
…001010011000
3202221102210120
4222131022120
510322120441
61034313240
7163412340
oct52351230
922842716
1011129496
116311834
123888820
1323c8a01
141699d20
15e9c966
hexa9d298

11129496 has 64 divisors (see below), whose sum is σ = 32839680. Its totient is φ = 3075840.

The previous prime is 11129467. The next prime is 11129501. The reversal of 11129496 is 69492111.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 4140 + ... + 6276.

It is an arithmetic number, because the mean of its divisors is an integer number (513120).

Almost surely, 211129496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11129496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419840).

11129496 is an abundant number, since it is smaller than the sum of its proper divisors (21710184).

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

11129496 is a wasteful number, since it uses less digits than its factorization.

11129496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2180 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 11129496 is about 3336.0899268455. The cubic root of 11129496 is about 223.2673233791.

The spelling of 11129496 in words is "eleven million, one hundred twenty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2137 2604 4274 5208 6411 8548 12822 14959 17096 25644 29918 44877 51288 59836 66247 89754 119672 132494 179508 198741 264988 359016 397482 463729 529976 794964 927458 1391187 1589928 1854916 2782374 3709832 5564748 11129496