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11296376 = 2371359263
BaseRepresentation
bin101011000101…
…111001111000
3210020220201022
4223011321320
510342441001
61042042012
7165006020
oct53057170
923226638
1011296376
116416153
123949308
132456960
141700a80
15ed211b
hexac5e78

11296376 has 64 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 4376448.

The previous prime is 11296333. The next prime is 11296379. The reversal of 11296376 is 67369211.

It is a super-2 number, since 2×112963762 = 255216221466752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296379) 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 15 ways as a sum of consecutive naturals, for example, 42821 + ... + 43083.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 211296376 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 11296376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

11296376 is an abundant number, since it is smaller than the sum of its proper divisors (15314824).

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

11296376 is a wasteful number, since it uses less digits than its factorization.

11296376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 11296376 is about 3361.0081820787. The cubic root of 11296376 is about 224.3777109565.

The spelling of 11296376 in words is "eleven million, two hundred ninety-six thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 182 236 263 364 413 472 526 728 767 826 1052 1534 1652 1841 2104 3068 3304 3419 3682 5369 6136 6838 7364 10738 13676 14728 15517 21476 23933 27352 31034 42952 47866 62068 95732 108619 124136 191464 201721 217238 403442 434476 806884 868952 1412047 1613768 2824094 5648188 11296376