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11334960 = 24325713173
BaseRepresentation
bin101011001111…
…010100110000
3210022212122100
4223033110300
510400204320
61042540400
7165226350
oct53172460
923285570
1011334960
11644213a
123967700
13246b3a0
141710b60
15edd790
hexacf530

11334960 has 240 divisors, whose sum is σ = 47121984. Its totient is φ = 2377728.

The previous prime is 11334949. The next prime is 11334989. The reversal of 11334960 is 6943311.

11334960 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

11334960 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65434 + ... + 65606.

Almost surely, 211334960 is an apocalyptic number.

11334960 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 11334960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560992).

11334960 is an abundant number, since it is smaller than the sum of its proper divisors (35787024).

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

11334960 is a wasteful number, since it uses less digits than its factorization.

11334960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 11334960 is about 3366.7432334528. The cubic root of 11334960 is about 224.6328828071.

It can be divided in two parts, 11 and 334960, that added together give a triangular number (334971 = T818).

The spelling of 11334960 in words is "eleven million, three hundred thirty-four thousand, nine hundred sixty".