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11042010 = 23257171031
BaseRepresentation
bin101010000111…
…110011011010
3202202222210100
4222013303122
510311321020
61032400230
7162566310
oct52076332
922688710
1011042010
116262031
123846076
132397c45
1416760b0
15e81a90
hexa87cda

11042010 has 96 divisors (see below), whose sum is σ = 34774272. Its totient is φ = 2373120.

The previous prime is 11041999. The next prime is 11042029. The reversal of 11042010 is 1024011.

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 = 11041983 and 11042001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10195 + ... + 11225.

It is an arithmetic number, because the mean of its divisors is an integer number (362232).

Almost surely, 211042010 is an apocalyptic number.

11042010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11042010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387136).

11042010 is an abundant number, since it is smaller than the sum of its proper divisors (23732262).

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

11042010 is a wasteful number, since it uses less digits than its factorization.

11042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11042010 is about 3322.9520008571. The cubic root of 11042010 is about 222.6807688050.

Adding to 11042010 its reverse (1024011), we get a palindrome (12066021).

The spelling of 11042010 in words is "eleven million, forty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1031 1071 1190 1530 1785 2062 2142 3093 3570 5155 5355 6186 7217 9279 10310 10710 14434 15465 17527 18558 21651 30930 35054 36085 43302 46395 52581 64953 72170 87635 92790 105162 108255 122689 129906 157743 175270 216510 245378 262905 315486 324765 368067 525810 613445 649530 736134 788715 1104201 1226890 1577430 1840335 2208402 3680670 5521005 11042010