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1100001040 = 24585916007
BaseRepresentation
bin100000110010000…
…1010111100010000
32211122211211202021
41001210022330100
54223100013130
6301052501224
736154566055
oct10144127420
92748754667
101100001040
11514a16076
1226847a814
13146b812b8
14a613d02c
156688637a
hex4190af10

1100001040 has 40 divisors (see below), whose sum is σ = 2560639680. Its totient is φ = 439460736.

The previous prime is 1100001037. The next prime is 1100001041. The reversal of 1100001040 is 401000011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1100001041) 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, 60717 + ... + 76723.

It is an arithmetic number, because the mean of its divisors is an integer number (64015992).

Almost surely, 21100001040 is an apocalyptic number.

1100001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100001040 is an abundant number, since it is smaller than the sum of its proper divisors (1460638640).

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

1100001040 is a wasteful number, since it uses less digits than its factorization.

1100001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16879 (or 16873 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1100001040 is about 33166.2635821402. The cubic root of 1100001040 is about 1032.2804407809.

Adding to 1100001040 its reverse (401000011), we get a palindrome (1501001051).

The spelling of 1100001040 in words is "one billion, one hundred million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 859 1718 3436 4295 6872 8590 13744 16007 17180 32014 34360 64028 68720 80035 128056 160070 256112 320140 640280 1280560 13750013 27500026 55000052 68750065 110000104 137500130 220000208 275000260 550000520 1100001040