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1075118144 = 2653316957
BaseRepresentation
bin100000000010101…
…0000000001000000
32202221000122211112
41000011100001000
54200212240034
6254403302452
735433232142
oct10005200100
92687018745
101075118144
115019701a1
1226007aa28
1314197b4a9
14a2b02c92
15645bd7ce
hex40150040

1075118144 has 28 divisors (see below), whose sum is σ = 2173697964. Its totient is φ = 527414784.

The previous prime is 1075118117. The next prime is 1075118159. The reversal of 1075118144 is 4418115701.

It can be written as a sum of positive squares in 2 ways, for example, as 419758144 + 655360000 = 20488^2 + 25600^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1075118144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155087 + ... + 161870.

Almost surely, 21075118144 is an apocalyptic number.

It is an amenable number.

1075118144 is an abundant number, since it is smaller than the sum of its proper divisors (1098579820).

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

1075118144 is an equidigital number, since it uses as much as digits as its factorization.

1075118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317022 (or 317012 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 1075118144 is about 32788.9942511203. The cubic root of 1075118144 is about 1024.4373335405.

The spelling of 1075118144 in words is "one billion, seventy-five million, one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 316957 633914 1267828 2535656 5071312 10142624 16798721 20285248 33597442 67194884 134389768 268779536 537559072 1075118144