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1155005540 = 2251328115809
BaseRepresentation
bin100010011010111…
…1111110001100100
32222111100100201222
41010311333301210
54331140134130
6310335435512
740423246043
oct10465776144
92874310658
101155005540
11542a74837
12282985b98
1315539c540
14ad57a55a
156b5edce5
hex44d7fc64

1155005540 has 48 divisors (see below), whose sum is σ = 2621550960. Its totient is φ = 424919040.

The previous prime is 1155005539. The next prime is 1155005549. The reversal of 1155005540 is 455005511.

It can be written as a sum of positive squares in 8 ways, for example, as 240064036 + 914941504 = 15494^2 + 30248^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1155005549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65156 + ... + 80964.

It is an arithmetic number, because the mean of its divisors is an integer number (54615645).

Almost surely, 21155005540 is an apocalyptic number.

1155005540 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 1155005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310775480).

1155005540 is an abundant number, since it is smaller than the sum of its proper divisors (1466545420).

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

1155005540 is a wasteful number, since it uses less digits than its factorization.

1155005540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The square root of 1155005540 is about 33985.3724416844. The cubic root of 1155005540 is about 1049.2074260776.

The spelling of 1155005540 in words is "one billion, one hundred fifty-five million, five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 281 562 1124 1405 2810 3653 5620 7306 14612 15809 18265 31618 36530 63236 73060 79045 158090 205517 316180 411034 822068 1027585 2055170 4110340 4442329 8884658 17769316 22211645 44423290 57750277 88846580 115500554 231001108 288751385 577502770 1155005540