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11042040 = 23351929167
BaseRepresentation
bin101010000111…
…110011111000
3202202222211110
4222013303320
510311321130
61032400320
7162566352
oct52076370
922688743
1011042040
116262059
1238460a0
132397c69
1416760d2
15e81ab0
hexa87cf8

11042040 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 2677248.

The previous prime is 11042029. The next prime is 11042077. The reversal of 11042040 is 4024011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 66037 + ... + 66203.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 211042040 is an apocalyptic number.

11042040 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 11042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11042040 is an abundant number, since it is smaller than the sum of its proper divisors (25245960).

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

11042040 is a wasteful number, since it uses less digits than its factorization.

11042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11042040 is about 3322.9565149126. The cubic root of 11042040 is about 222.6809704717.

Adding to 11042040 its reverse (4024011), we get a palindrome (15066051).

The spelling of 11042040 in words is "eleven million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 60 76 87 95 114 116 120 145 152 167 174 190 228 232 285 290 334 348 380 435 456 501 551 570 580 668 696 760 835 870 1002 1102 1140 1160 1336 1653 1670 1740 2004 2204 2280 2505 2755 3173 3306 3340 3480 4008 4408 4843 5010 5510 6346 6612 6680 8265 9519 9686 10020 11020 12692 13224 14529 15865 16530 19038 19372 20040 22040 24215 25384 29058 31730 33060 38076 38744 47595 48430 58116 63460 66120 72645 76152 92017 95190 96860 116232 126920 145290 184034 190380 193720 276051 290580 368068 380760 460085 552102 581160 736136 920170 1104204 1380255 1840340 2208408 2760510 3680680 5521020 11042040