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11386480 = 245720333
BaseRepresentation
bin101011011011…
…111001110000
3210102111022111
4223123321300
510403331410
61044015104
7165532510
oct53337160
923374274
1011386480
116477916
123991494
132488981
141725840
15eedb8a
hexadbe70

11386480 has 40 divisors (see below), whose sum is σ = 30256992. Its totient is φ = 3903744.

The previous prime is 11386471. The next prime is 11386489. The reversal of 11386480 is 8468311.

It is an interprime number because it is at equal distance from previous prime (11386471) and next prime (11386489).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11386489) 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, 9607 + ... + 10726.

Almost surely, 211386480 is an apocalyptic number.

11386480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11386480 is an abundant number, since it is smaller than the sum of its proper divisors (18870512).

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

11386480 is a wasteful number, since it uses less digits than its factorization.

11386480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20353 (or 20347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 11386480 is about 3374.3858700510. The cubic root of 11386480 is about 224.9727045078.

The spelling of 11386480 in words is "eleven million, three hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 20333 40666 81332 101665 142331 162664 203330 284662 325328 406660 569324 711655 813320 1138648 1423310 1626640 2277296 2846620 5693240 11386480