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11410980 = 22357101269
BaseRepresentation
bin101011100001…
…111000100100
3210110201220220
4223201320210
510410122410
61044324340
7165664110
oct53417044
923421826
1011410980
116494269
1239a36b0
132496b79
141730740
151006070
hexae1e24

11410980 has 96 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 2572800.

The previous prime is 11410969. The next prime is 11410981. The reversal of 11410980 is 8901411.

It is a self number, because there is not a number n which added to its sum of digits gives 11410980.

It is not an unprimeable number, because it can be changed into a prime (11410981) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42286 + ... + 42554.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 211410980 is an apocalyptic number.

11410980 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 11410980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

11410980 is an abundant number, since it is smaller than the sum of its proper divisors (25602780).

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

11410980 is a wasteful number, since it uses less digits than its factorization.

11410980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11410980 is about 3378.0142095616. The cubic root of 11410980 is about 225.1339449367.

The spelling of 11410980 in words is "eleven million, four hundred ten thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 269 303 404 420 505 538 606 707 807 1010 1076 1212 1345 1414 1515 1614 1883 2020 2121 2690 2828 3030 3228 3535 3766 4035 4242 5380 5649 6060 7070 7532 8070 8484 9415 10605 11298 14140 16140 18830 21210 22596 27169 28245 37660 42420 54338 56490 81507 108676 112980 135845 163014 190183 271690 326028 380366 407535 543380 570549 760732 815070 950915 1141098 1630140 1901830 2282196 2852745 3803660 5705490 11410980