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1105142040 = 2332521114549
BaseRepresentation
bin100000111011111…
…0010000100011000
32212000112000212200
41001313302010120
54230404021130
6301355010200
736246360312
oct10167620430
92760460780
101105142040
11517907632
1226a139960
13147c61302
14a6aba7b2
156704e760
hex41df2118

1105142040 has 96 divisors (see below), whose sum is σ = 3608982000. Its totient is φ = 293287680.

The previous prime is 1105142023. The next prime is 1105142041. The reversal of 1105142040 is 402415011.

1105142040 is a `hidden beast` number, since 110 + 514 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105142041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68686 + ... + 83234.

Almost surely, 21105142040 is an apocalyptic number.

1105142040 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 1105142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804491000).

1105142040 is an abundant number, since it is smaller than the sum of its proper divisors (2503839960).

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

1105142040 is a wasteful number, since it uses less digits than its factorization.

1105142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14777 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1105142040 is about 33243.6766919665. The cubic root of 1105142040 is about 1033.8861082213.

Adding to 1105142040 its reverse (402415011), we get a palindrome (1507557051).

The spelling of 1105142040 in words is "one billion, one hundred five million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 360 422 633 844 1055 1266 1688 1899 2110 2532 3165 3798 4220 5064 6330 7596 8440 9495 12660 14549 15192 18990 25320 29098 37980 43647 58196 72745 75960 87294 116392 130941 145490 174588 218235 261882 290980 349176 436470 523764 581960 654705 872940 1047528 1309410 1745880 2618820 3069839 5237640 6139678 9209517 12279356 15349195 18419034 24558712 27628551 30698390 36838068 46047585 55257102 61396780 73676136 92095170 110514204 122793560 138142755 184190340 221028408 276285510 368380680 552571020 1105142040