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11730440 = 235293261
BaseRepresentation
bin101100101111…
…111000001000
3211001222010202
4230233320020
511000333230
61055231332
7201464351
oct54577010
924058122
1011730440
116692287
123b18548
1325793b7
1417b4d28
15106aa45
hexb2fe08

11730440 has 16 divisors (see below), whose sum is σ = 26393580. Its totient is φ = 4692160.

The previous prime is 11730409. The next prime is 11730449. The reversal of 11730440 is 4403711.

11730440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11276164 + 454276 = 3358^2 + 674^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11730449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146591 + ... + 146670.

Almost surely, 211730440 is an apocalyptic number.

11730440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11730440 is an abundant number, since it is smaller than the sum of its proper divisors (14663140).

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

11730440 is a wasteful number, since it uses less digits than its factorization.

11730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293272 (or 293268 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 11730440 is about 3424.9729925942. The cubic root of 11730440 is about 227.2155766118.

The spelling of 11730440 in words is "eleven million, seven hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 293261 586522 1173044 1466305 2346088 2932610 5865220 11730440