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11355940 = 2251813137
BaseRepresentation
bin101011010100…
…011100100100
3210100221102101
4223110130210
510401342230
61043221444
7165344461
oct53243444
923327371
1011355940
116456982
123977884
132477abb
141718668
15ee4aca
hexad4724

11355940 has 24 divisors (see below), whose sum is σ = 23986872. Its totient is φ = 4515840.

The previous prime is 11355931. The next prime is 11355961. The reversal of 11355940 is 4955311.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 9972964 = 1176^2 + 3158^2 .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 11355899 and 11355908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052 + ... + 5188.

It is an arithmetic number, because the mean of its divisors is an integer number (999453).

Almost surely, 211355940 is an apocalyptic number.

11355940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11355940 is an abundant number, since it is smaller than the sum of its proper divisors (12630932).

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

11355940 is a wasteful number, since it uses less digits than its factorization.

11355940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 11355940 is about 3369.8575637555. The cubic root of 11355940 is about 224.7713891983.

The spelling of 11355940 in words is "eleven million, three hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3137 3620 6274 12548 15685 31370 62740 567797 1135594 2271188 2838985 5677970 11355940