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1126655104 = 27292571181
BaseRepresentation
bin100001100100111…
…0110010010000000
32220112000000020211
41003021312102000
54301410430404
6303444043504
736630260521
oct10311662200
92815000224
101126655104
11528a70723
12275393594
1314c554333
14a98ba848
1568d9db04
hex43276480

1126655104 has 64 divisors (see below), whose sum is σ = 2332913400. Its totient is φ = 541327360.

The previous prime is 1126655099. The next prime is 1126655107. The reversal of 1126655104 is 4015566211.

It can be written as a sum of positive squares in 4 ways, for example, as 1083726400 + 42928704 = 32920^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1126655107) 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, 953394 + ... + 954574.

Almost surely, 21126655104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166456700).

1126655104 is an abundant number, since it is smaller than the sum of its proper divisors (1206258296).

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

1126655104 is a wasteful number, since it uses less digits than its factorization.

1126655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1126655104 is about 33565.6834281681. The cubic root of 1126655104 is about 1040.5516993931.

The spelling of 1126655104 in words is "one billion, one hundred twenty-six million, six hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 257 464 514 928 1028 1181 1856 2056 2362 3712 4112 4724 7453 8224 9448 14906 16448 18896 29812 32896 34249 37792 59624 68498 75584 119248 136996 151168 238496 273992 303517 476992 547984 607034 953984 1095968 1214068 2191936 2428136 4383872 4856272 8801993 9712544 17603986 19425088 35207972 38850176 70415944 140831888 281663776 563327552 1126655104