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11975040 = 27355711
BaseRepresentation
bin101101101011…
…100110000000
3211112101200000
4231223212000
511031200130
61104400000
7203533440
oct55534600
924471600
1011975040
11683a030
124016000
13263382c
14183a120
1510b8260
hexb6b980

11975040 has 384 divisors, whose sum is σ = 53464320. Its totient is φ = 2488320.

The previous prime is 11975023. The next prime is 11975059. The reversal of 11975040 is 4057911.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11974995 and 11975013.

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 47 ways as a sum of consecutive naturals, for example, 1088635 + ... + 1088645.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 211975040 is an apocalyptic number.

11975040 is a gapful number since it is divisible by the number (10) 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 11975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

11975040 is an abundant number, since it is smaller than the sum of its proper divisors (41489280).

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

11975040 is an equidigital number, since it uses as much as digits as its factorization.

11975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11975040 is about 3460.4970741210. The cubic root of 11975040 is about 228.7840046196.

The spelling of 11975040 in words is "eleven million, nine hundred seventy-five thousand, forty".