Search a number
-
+
1093874440 = 235101270761
BaseRepresentation
bin100000100110011…
…0011001100001000
32211020022120122011
41001030303030020
54220012440230
6300313305304
736051531211
oct10114631410
92736276564
101093874440
1151151106a
12266405234
131458177a9
14a53c6408
1566075e2a
hex41333308

1093874440 has 32 divisors (see below), whose sum is σ = 2485595160. Its totient is φ = 433216000.

The previous prime is 1093874423. The next prime is 1093874447. The reversal of 1093874440 is 444783901.

It can be written as a sum of positive squares in 4 ways, for example, as 1056640036 + 37234404 = 32506^2 + 6102^2 .

It is a super-2 number, since 2×10938744402 = 2393122580970627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1093874393 and 1093874402.

It is not an unprimeable number, because it can be changed into a prime (1093874447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131341 + ... + 139420.

Almost surely, 21093874440 is an apocalyptic number.

1093874440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1093874440 is an abundant number, since it is smaller than the sum of its proper divisors (1391720720).

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

1093874440 is a wasteful number, since it uses less digits than its factorization.

1093874440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270873 (or 270869 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1093874440 is about 33073.7726907591. The cubic root of 1093874440 is about 1030.3603979650.

The spelling of 1093874440 in words is "one billion, ninety-three million, eight hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 270761 541522 1083044 1353805 2166088 2707610 5415220 10830440 27346861 54693722 109387444 136734305 218774888 273468610 546937220 1093874440