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11412096 = 273113263
BaseRepresentation
bin101011100010…
…001010000000
3210110210110020
4223202022000
510410141341
61044333440
7166000263
oct53421200
923423406
1011412096
116495093
1239a4280
132497527
141730cda
151006566
hexae2280

11412096 has 64 divisors (see below), whose sum is σ = 30697920. Its totient is φ = 3756032.

The previous prime is 11412067. The next prime is 11412101. The reversal of 11412096 is 69021411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×114120962 = 260471870226432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43261 + ... + 43523.

It is an arithmetic number, because the mean of its divisors is an integer number (479655).

Almost surely, 211412096 is an apocalyptic number.

11412096 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 11412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348960).

11412096 is an abundant number, since it is smaller than the sum of its proper divisors (19285824).

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

11412096 is a wasteful number, since it uses less digits than its factorization.

11412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11412096 is about 3378.1793913290. The cubic root of 11412096 is about 225.1412841045.

The spelling of 11412096 in words is "eleven million, four hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 263 339 384 452 526 678 789 904 1052 1356 1578 1808 2104 2712 3156 3616 4208 5424 6312 7232 8416 10848 12624 14464 16832 21696 25248 29719 33664 43392 50496 59438 89157 100992 118876 178314 237752 356628 475504 713256 951008 1426512 1902016 2853024 3804032 5706048 11412096