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1056104055 = 33571110183
BaseRepresentation
bin111110111100101…
…101111001110111
32201121020122102000
4332330231321313
54130330312210
6252443550343
735112510366
oct7674557167
92647218360
101056104055
114a2163676
1225582b3b3
1313aa51a56
14a03937dd
1562ab4ac0
hex3ef2de77

1056104055 has 32 divisors (see below), whose sum is σ = 1903979520. Its totient is φ = 555317280.

The previous prime is 1056104029. The next prime is 1056104057. The reversal of 1056104055 is 5504016501.

It is a happy number.

1056104055 is a `hidden beast` number, since 1 + 0 + 5 + 610 + 40 + 5 + 5 = 666.

It is not a de Polignac number, because 1056104055 - 27 = 1056103927 is a prime.

It is a super-2 number, since 2×10561040552 = 2230711549974886050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056104057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45507 + ... + 64676.

It is an arithmetic number, because the mean of its divisors is an integer number (59499360).

Almost surely, 21056104055 is an apocalyptic number.

1056104055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1056104055 is a deficient number, since it is larger than the sum of its proper divisors (847875465).

1056104055 is a wasteful number, since it uses less digits than its factorization.

1056104055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110268 (or 110262 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1056104055 is about 32497.7546147422. The cubic root of 1056104055 is about 1018.3621204944.

It can be divided in two parts, 1056 and 104055, that added together give a triangular number (105111 = T458).

The spelling of 1056104055 in words is "one billion, fifty-six million, one hundred four thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 639 1065 1917 3195 9585 110183 330549 550915 991647 1652745 2974941 4958235 7822993 14874705 23468979 39114965 70406937 117344895 211220811 352034685 1056104055