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1103845840 = 245532571013
BaseRepresentation
bin100000111001011…
…0101100111010000
32211221002011211021
41001302311213100
54230041031330
6301311125224
736232351306
oct10162654720
92757064737
101103845840
11517101799
12269813814
131478c9326
14a6860276
1566d9567a
hex41cb59d0

1103845840 has 80 divisors (see below), whose sum is σ = 2627630928. Its totient is φ = 431095808.

The previous prime is 1103845817. The next prime is 1103845849. The reversal of 1103845840 is 485483011.

It can be written as a sum of positive squares in 8 ways, for example, as 11664 + 1103834176 = 108^2 + 33224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1103845796 and 1103845805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103845849) 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, 1089174 + ... + 1090186.

Almost surely, 21103845840 is an apocalyptic number.

1103845840 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 1103845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313815464).

1103845840 is an abundant number, since it is smaller than the sum of its proper divisors (1523785088).

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

1103845840 is a wasteful number, since it uses less digits than its factorization.

1103845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1103845840 is about 33224.1755352936. The cubic root of 1103845840 is about 1033.4817416628.

The spelling of 1103845840 in words is "one billion, one hundred three million, eight hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 257 265 424 514 530 848 1013 1028 1060 1285 2026 2056 2120 2570 4052 4112 4240 5065 5140 8104 10130 10280 13621 16208 20260 20560 27242 40520 53689 54484 68105 81040 107378 108968 136210 214756 217936 260341 268445 272420 429512 520682 536890 544840 859024 1041364 1073780 1089680 1301705 2082728 2147560 2603410 4165456 4295120 5206820 10413640 13798073 20827280 27596146 55192292 68990365 110384584 137980730 220769168 275961460 551922920 1103845840