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11023020 = 22335137149
BaseRepresentation
bin101010000011…
…001010101100
3202202000202000
4222003022230
510310214040
61032132300
7162460041
oct52031254
922660660
1011023020
116249838
123837090
13238c3c8
14166d1c8
15e7b130
hexa832ac

11023020 has 96 divisors (see below), whose sum is σ = 34776000. Its totient is φ = 2898432.

The previous prime is 11023009. The next prime is 11023027. The reversal of 11023020 is 2032011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11022993 and 11023011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73906 + ... + 74054.

It is an arithmetic number, because the mean of its divisors is an integer number (362250).

Almost surely, 211023020 is an apocalyptic number.

11023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388000).

11023020 is an abundant number, since it is smaller than the sum of its proper divisors (23752980).

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

11023020 is a wasteful number, since it uses less digits than its factorization.

11023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11023020 is about 3320.0933721810. The cubic root of 11023020 is about 222.5530404207.

Adding to 11023020 its reverse (2032011), we get a palindrome (13055031).

The spelling of 11023020 in words is "eleven million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 149 180 270 274 298 411 447 540 548 596 685 745 822 894 1233 1341 1370 1490 1644 1788 2055 2235 2466 2682 2740 2980 3699 4023 4110 4470 4932 5364 6165 6705 7398 8046 8220 8940 12330 13410 14796 16092 18495 20115 20413 24660 26820 36990 40230 40826 61239 73980 80460 81652 102065 122478 183717 204130 244956 306195 367434 408260 551151 612390 734868 918585 1102302 1224780 1837170 2204604 2755755 3674340 5511510 11023020