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11350080 = 263257563
BaseRepresentation
bin101011010011…
…000001000000
3210100122101100
4223103001000
510401200310
61043134400
7165321420
oct53230100
923318340
1011350080
116452535
123974400
132475231
141716480
15ee2ec0
hexad3040

11350080 has 168 divisors, whose sum is σ = 44695872. Its totient is φ = 2589696.

The previous prime is 11350069. The next prime is 11350091. The reversal of 11350080 is 8005311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11350069) and next prime (11350091).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19879 + ... + 20441.

Almost surely, 211350080 is an apocalyptic number.

11350080 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 11350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347936).

11350080 is an abundant number, since it is smaller than the sum of its proper divisors (33345792).

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

11350080 is a wasteful number, since it uses less digits than its factorization.

11350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11350080 is about 3368.9879786072. The cubic root of 11350080 is about 224.7327196571.

Adding to 11350080 its reverse (8005311), we get a palindrome (19355391).

The spelling of 11350080 in words is "eleven million, three hundred fifty thousand, eighty".