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11823240 = 23351113253
BaseRepresentation
bin101101000110…
…100010001000
3211020200102210
4231012202020
511011320430
61101225120
7202332042
oct55064210
924220383
1011823240
116745a80
123b621a0
1325ac700
1417daa92
1510882b0
hexb46888

11823240 has 192 divisors, whose sum is σ = 42690240. Its totient is φ = 2595840.

The previous prime is 11823209. The next prime is 11823241. The reversal of 11823240 is 4232811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11823241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223054 + ... + 223106.

It is an arithmetic number, because the mean of its divisors is an integer number (222345).

Almost surely, 211823240 is an apocalyptic number.

11823240 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 11823240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345120).

11823240 is an abundant number, since it is smaller than the sum of its proper divisors (30867000).

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

11823240 is a wasteful number, since it uses less digits than its factorization.

11823240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11823240 is about 3438.4938563272. The cubic root of 11823240 is about 227.8131741321.

The spelling of 11823240 in words is "eleven million, eight hundred twenty-three thousand, two hundred forty".