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11914084 = 2271371461
BaseRepresentation
bin101101011100…
…101101100100
3211102022001101
4231130231210
511022222314
61103205444
7203160640
oct55345544
924368041
1011914084
1167a8256
123ba6884
132611b70
141821c20
1510a5174
hexb5cb64

11914084 has 48 divisors (see below), whose sum is σ = 26078976. Its totient is φ = 4636800.

The previous prime is 11914081. The next prime is 11914087. The reversal of 11914084 is 48041911.

11914084 = T267 + T268 + ... + T448.

It is an interprime number because it is at equal distance from previous prime (11914081) and next prime (11914087).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11914081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25614 + ... + 26074.

It is an arithmetic number, because the mean of its divisors is an integer number (543312).

Almost surely, 211914084 is an apocalyptic number.

11914084 is a gapful number since it is divisible by the number (14) 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 11914084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039488).

11914084 is an abundant number, since it is smaller than the sum of its proper divisors (14164892).

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

11914084 is a wasteful number, since it uses less digits than its factorization.

11914084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 11914084 is about 3451.6784322993. The cubic root of 11914084 is about 228.3951544943.

11914084 divided by its sum of digits (28) gives a triangular number (425503 = T922).

Adding to 11914084 its reverse (48041911), we get a palindrome (59955995).

The spelling of 11914084 in words is "eleven million, nine hundred fourteen thousand, eighty-four".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 461 497 922 923 994 1844 1846 1988 3227 3692 5993 6454 6461 11986 12908 12922 23972 25844 32731 41951 65462 83902 130924 167804 229117 425503 458234 851006 916468 1702012 2978521 5957042 11914084