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11687540 = 225584377
BaseRepresentation
bin101100100101…
…011001110100
3210222210021212
4230211121310
510443000130
61054300552
7201225314
oct54453164
923883255
1011687540
116663027
123ab7758
132562a07
1417a3444
15105ce95
hexb25674

11687540 has 12 divisors (see below), whose sum is σ = 24543876. Its totient is φ = 4675008.

The previous prime is 11687521. The next prime is 11687563. The reversal of 11687540 is 4578611.

It is a happy number.

11687540 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 3519376 + 8168164 = 1876^2 + 2858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11687497 and 11687506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 292169 + ... + 292208.

It is an arithmetic number, because the mean of its divisors is an integer number (2045323).

Almost surely, 211687540 is an apocalyptic number.

11687540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11687540 is an abundant number, since it is smaller than the sum of its proper divisors (12856336).

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

11687540 is a wasteful number, since it uses less digits than its factorization.

11687540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584386 (or 584384 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 11687540 is about 3418.7044329687. The cubic root of 11687540 is about 226.9382509760.

The spelling of 11687540 in words is "eleven million, six hundred eighty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 584377 1168754 2337508 2921885 5843770 11687540