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1100412040 = 2357131717783
BaseRepresentation
bin100000110010110…
…1111010010001000
32211200121201112111
41001211233102020
54223201141130
6301105352104
736161230240
oct10145572210
92750551474
101100412040
11515176942
12268638634
13146c963b0
14a6208b20
156691802a
hex4196f488

1100412040 has 128 divisors (see below), whose sum is σ = 3226728960. Its totient is φ = 327757824.

The previous prime is 1100412029. The next prime is 1100412041. The reversal of 1100412040 is 402140011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1100412040.

It is not an unprimeable number, because it can be changed into a prime (1100412041) 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 31 ways as a sum of consecutive naturals, for example, 52989 + ... + 70771.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 21100412040 is an apocalyptic number.

1100412040 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 1100412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

1100412040 is an abundant number, since it is smaller than the sum of its proper divisors (2126316920).

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

1100412040 is a wasteful number, since it uses less digits than its factorization.

1100412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17831 (or 17827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1100412040 is about 33172.4590586830. The cubic root of 1100412040 is about 1032.4089904871.

Adding to 1100412040 its reverse (402140011), we get a palindrome (1502552051).

The spelling of 1100412040 in words is "one billion, one hundred million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 442 455 476 520 595 680 728 884 910 952 1105 1190 1547 1768 1820 2210 2380 3094 3640 4420 4760 6188 7735 8840 12376 15470 17783 30940 35566 61880 71132 88915 124481 142264 177830 231179 248962 302311 355660 462358 497924 604622 622405 711320 924716 995848 1155895 1209244 1244810 1511555 1618253 1849432 2116177 2311790 2418488 2489620 3023110 3236506 3930043 4232354 4623580 4979240 6046220 6473012 7860086 8091265 8464708 9247160 10580885 12092440 12946024 15720172 16182530 16929416 19650215 21161770 27510301 31440344 32365060 39300430 42323540 55020602 64730120 78600860 84647080 110041204 137551505 157201720 220082408 275103010 550206020 1100412040