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11740480 = 265191931
BaseRepresentation
bin101100110010…
…010101000000
3211002110220121
4230302111000
511001143410
61055350024
7201535543
oct54622500
924073817
1011740480
116699884
123b22314
132580b3b
1417b885a
15106d9da
hexb32540

11740480 has 56 divisors (see below), whose sum is σ = 29443680. Its totient is φ = 4446720.

The previous prime is 11740457. The next prime is 11740483. The reversal of 11740480 is 8404711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11740483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5115 + ... + 7045.

It is an arithmetic number, because the mean of its divisors is an integer number (525780).

Almost surely, 211740480 is an apocalyptic number.

11740480 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 11740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721840).

11740480 is an abundant number, since it is smaller than the sum of its proper divisors (17703200).

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

11740480 is a wasteful number, since it uses less digits than its factorization.

11740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 11740480 is about 3426.4383840951. The cubic root of 11740480 is about 227.2803821907.

The spelling of 11740480 in words is "eleven million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 1931 3040 3862 6080 7724 9655 15448 19310 30896 36689 38620 61792 73378 77240 123584 146756 154480 183445 293512 308960 366890 587024 617920 733780 1174048 1467560 2348096 2935120 5870240 11740480