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11205020 = 2252919319
BaseRepresentation
bin101010101111…
…100110011100
3210002021101202
4222233212130
510332030040
61040055032
7164145461
oct52574634
923067352
1011205020
116363552
123904478
1324241b8
1416b9668
15eb5015
hexaaf99c

11205020 has 24 divisors (see below), whose sum is σ = 24343200. Its totient is φ = 4327232.

The previous prime is 11205017. The next prime is 11205031. The reversal of 11205020 is 2050211.

It is a junction number, because it is equal to n+sod(n) for n = 11204992 and 11205010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9080 + ... + 10239.

It is an arithmetic number, because the mean of its divisors is an integer number (1014300).

Almost surely, 211205020 is an apocalyptic number.

11205020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205020 is an abundant number, since it is smaller than the sum of its proper divisors (13138180).

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

11205020 is a wasteful number, since it uses less digits than its factorization.

11205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19357 (or 19355 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 11205020 is about 3347.3900280666. The cubic root of 11205020 is about 223.7712109143.

Adding to 11205020 its reverse (2050211), we get a palindrome (13255231).

It can be divided in two parts, 1 and 1205020, that added together give a palindrome (1205021).

The spelling of 11205020 in words is "eleven million, two hundred five thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 19319 38638 77276 96595 193190 386380 560251 1120502 2241004 2801255 5602510 11205020