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1103668120 = 235613831181
BaseRepresentation
bin100000111001000…
…1010001110011000
32211220202011001001
41001302022032120
54230014334440
6301303234344
736231011212
oct10162121630
92756664031
101103668120
11516aa0215
122697489b4
13147866479
14a68155b2
1566d5cb9a
hex41c8a398

1103668120 has 64 divisors (see below), whose sum is σ = 2532695040. Its totient is φ = 432729600.

The previous prime is 1103668103. The next prime is 1103668121. The reversal of 1103668120 is 218663011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103668121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933930 + ... + 935110.

It is an arithmetic number, because the mean of its divisors is an integer number (39573360).

Almost surely, 21103668120 is an apocalyptic number.

1103668120 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 1103668120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266347520).

1103668120 is an abundant number, since it is smaller than the sum of its proper divisors (1429026920).

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

1103668120 is a wasteful number, since it uses less digits than its factorization.

1103668120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1103668120 is about 33221.5008691660. The cubic root of 1103668120 is about 1033.4262749100.

The spelling of 1103668120 in words is "one billion, one hundred three million, six hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 383 488 610 766 1181 1220 1532 1915 2362 2440 3064 3830 4724 5905 7660 9448 11810 15320 23363 23620 46726 47240 72041 93452 116815 144082 186904 233630 288164 360205 452323 467260 576328 720410 904646 934520 1440820 1809292 2261615 2881640 3618584 4523230 9046460 18092920 27591703 55183406 110366812 137958515 220733624 275917030 551834060 1103668120