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11964096 = 263220771
BaseRepresentation
bin101101101000…
…111011000000
3211111211122200
4231220323000
511030322341
61104233200
7203456514
oct55507300
924454580
1011964096
116831891
12400b800
13262b861
141836144
1510b4db6
hexb68ec0

11964096 has 42 divisors (see below), whose sum is σ = 34294572. Its totient is φ = 3987840.

The previous prime is 11964041. The next prime is 11964103. The reversal of 11964096 is 69046911.

11964096 is a `hidden beast` number, since 1 + 1 + 9 + 640 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11964096.

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 5 ways as a sum of consecutive naturals, for example, 9810 + ... + 10961.

Almost surely, 211964096 is an apocalyptic number.

11964096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11964096 is an abundant number, since it is smaller than the sum of its proper divisors (22330476).

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

11964096 is a wasteful number, since it uses less digits than its factorization.

11964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20789 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 11964096 is about 3458.9154369542. The cubic root of 11964096 is about 228.7142880737.

The spelling of 11964096 in words is "eleven million, nine hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20771 41542 62313 83084 124626 166168 186939 249252 332336 373878 498504 664672 747756 997008 1329344 1495512 1994016 2991024 3988032 5982048 11964096