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11427840 = 21332531
BaseRepresentation
bin101011100110…
…000000000000
3210111121001100
4223212000000
510411142330
61044534400
7166064214
oct53460000
923447040
1011427840
1164a59a6
1239b1400
1324a1748
141736944
15100b060
hexae6000

11427840 has 168 divisors, whose sum is σ = 40891968. Its totient is φ = 2949120.

The previous prime is 11427839. The next prime is 11427851. The reversal of 11427840 is 4872411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368625 + ... + 368655.

Almost surely, 211427840 is an apocalyptic number.

11427840 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 11427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445984).

11427840 is an abundant number, since it is smaller than the sum of its proper divisors (29464128).

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

11427840 is an equidigital number, since it uses as much as digits as its factorization.

11427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11427840 is about 3380.5088374385. The cubic root of 11427840 is about 225.2447706619.

The spelling of 11427840 in words is "eleven million, four hundred twenty-seven thousand, eight hundred forty".