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11946896 = 2413193023
BaseRepresentation
bin101101100100…
…101110010000
3211110222001122
4231210232100
511024300041
61104021412
7203355413
oct55445620
924428048
1011946896
11681a975
124001868
132623a90
14182db7a
1510aec4b
hexb64b90

11946896 has 40 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 5222016.

The previous prime is 11946881. The next prime is 11946899. The reversal of 11946896 is 69864911.

It is not an unprimeable number, because it can be changed into a prime (11946899) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2441 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 211946896 is an apocalyptic number.

11946896 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 11946896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

11946896 is an abundant number, since it is smaller than the sum of its proper divisors (14301424).

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

11946896 is a wasteful number, since it uses less digits than its factorization.

11946896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3057 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 11946896 is about 3456.4282142119. The cubic root of 11946896 is about 228.6046329738.

The spelling of 11946896 in words is "eleven million, nine hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3023 3952 6046 12092 24184 39299 48368 57437 78598 114874 157196 229748 314392 459496 628784 746681 918992 1493362 2986724 5973448 11946896