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1103668940 = 2251144911173
BaseRepresentation
bin100000111001000…
…1010011011001100
32211220202012011102
41001302022123030
54230014401230
6301303242232
736231013463
oct10162123314
92756665142
101103668940
11516aa08a0
12269749378
1314786695a
14a68159da
1566d5d045
hex41c8a6cc

1103668940 has 48 divisors (see below), whose sum is σ = 2534263200. Its totient is φ = 400404480.

The previous prime is 1103668939. The next prime is 1103668949. The reversal of 1103668940 is 498663011.

It is a junction number, because it is equal to n+sod(n) for n = 1103668894 and 1103668903.

It is not an unprimeable number, because it can be changed into a prime (1103668949) 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 15 ways as a sum of consecutive naturals, for example, 93194 + ... + 104366.

It is an arithmetic number, because the mean of its divisors is an integer number (52797150).

Almost surely, 21103668940 is an apocalyptic number.

1103668940 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 1103668940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267131600).

1103668940 is an abundant number, since it is smaller than the sum of its proper divisors (1430594260).

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

1103668940 is a wasteful number, since it uses less digits than its factorization.

1103668940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1103668940 is about 33221.5132105688. The cubic root of 1103668940 is about 1033.4265308472.

The spelling of 1103668940 in words is "one billion, one hundred three million, six hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 449 898 1796 2245 4490 4939 8980 9878 11173 19756 22346 24695 44692 49390 55865 98780 111730 122903 223460 245806 491612 614515 1229030 2458060 5016677 10033354 20066708 25083385 50166770 55183447 100333540 110366894 220733788 275917235 551834470 1103668940