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11355040 = 25570969
BaseRepresentation
bin101011010100…
…001110100000
3210100220012001
4223110032200
510401330130
61043213344
7165342034
oct53241640
923326161
1011355040
116456234
123977254
132477578
1417181c4
15ee46ca
hexad43a0

11355040 has 24 divisors (see below), whose sum is σ = 26826660. Its totient is φ = 4541952.

The previous prime is 11355023. The next prime is 11355107. The reversal of 11355040 is 4055311.

It can be written as a sum of positive squares in 2 ways, for example, as 10214416 + 1140624 = 3196^2 + 1068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11354999 and 11355017.

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, 35325 + ... + 35644.

Almost surely, 211355040 is an apocalyptic number.

11355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11355040 is an abundant number, since it is smaller than the sum of its proper divisors (15471620).

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

11355040 is an equidigital number, since it uses as much as digits as its factorization.

11355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70984 (or 70976 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 11355040 is about 3369.7240243082. The cubic root of 11355040 is about 224.7654510551.

The spelling of 11355040 in words is "eleven million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 70969 141938 283876 354845 567752 709690 1135504 1419380 2271008 2838760 5677520 11355040