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11478680 = 235319257
BaseRepresentation
bin101011110010…
…011010011000
3210121011210022
4223302122120
510414304210
61050010012
7166365353
oct53623230
923534708
1011478680
116530114
123a16908
1324bb925
14174b29a
15101b155
hexaf2698

11478680 has 32 divisors (see below), whose sum is σ = 26663040. Its totient is φ = 4442880.

The previous prime is 11478673. The next prime is 11478683. The reversal of 11478680 is 8687411.

11478680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11478680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478683) 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, 3389 + ... + 5868.

It is an arithmetic number, because the mean of its divisors is an integer number (833220).

Almost surely, 211478680 is an apocalyptic number.

11478680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11478680 is an abundant number, since it is smaller than the sum of its proper divisors (15184360).

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

11478680 is a wasteful number, since it uses less digits than its factorization.

11478680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9299 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 11478680 is about 3388.0200707788. The cubic root of 11478680 is about 225.5782983836.

The spelling of 11478680 in words is "eleven million, four hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 9257 18514 37028 46285 74056 92570 185140 286967 370280 573934 1147868 1434835 2295736 2869670 5739340 11478680