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11934840 = 2335271367
BaseRepresentation
bin101101100001…
…110001111000
3211110100112010
4231201301320
511023403330
61103445520
7203305311
oct55416170
924410463
1011934840
116811905
123bb68a0
13261b448
141829608
1510ab3b0
hexb61c78

11934840 has 64 divisors (see below), whose sum is σ = 36034560. Its totient is φ = 3162240.

The previous prime is 11934827. The next prime is 11934841. The reversal of 11934840 is 4843911.

It is a happy number.

11934840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11934798 and 11934807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11934841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32337 + ... + 32703.

It is an arithmetic number, because the mean of its divisors is an integer number (563040).

Almost surely, 211934840 is an apocalyptic number.

11934840 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 11934840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017280).

11934840 is an abundant number, since it is smaller than the sum of its proper divisors (24099720).

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

11934840 is a wasteful number, since it uses less digits than its factorization.

11934840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 11934840 is about 3454.6837771350. The cubic root of 11934840 is about 228.5277096444.

The spelling of 11934840 in words is "eleven million, nine hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 367 542 734 813 1084 1101 1355 1468 1626 1835 2168 2202 2710 2936 3252 3670 4065 4404 5420 5505 6504 7340 8130 8808 10840 11010 14680 16260 22020 32520 44040 99457 198914 298371 397828 497285 596742 795656 994570 1193484 1491855 1989140 2386968 2983710 3978280 5967420 11934840