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1054134045 = 3251723181331
BaseRepresentation
bin111110110101001…
…100111100011101
32201110112120001200
4332311030330131
54124324242140
6252333430113
735056664046
oct7665147435
92643476050
101054134045
114a1038568
1225503b339
1313a512173
149dddd8cd
1562826030
hex3ed4cf1d

1054134045 has 96 divisors (see below), whose sum is σ = 2036047104. Its totient is φ = 501811200.

The previous prime is 1054133989. The next prime is 1054134047. The reversal of 1054134045 is 5404314501.

It is a happy number.

It is not a de Polignac number, because 1054134045 - 27 = 1054133917 is a prime.

It is a super-2 number, since 2×10541340452 = 2222397169656124050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054134047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3184530 + ... + 3184860.

It is an arithmetic number, because the mean of its divisors is an integer number (21208824).

Almost surely, 21054134045 is an apocalyptic number.

1054134045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054134045 is a deficient number, since it is larger than the sum of its proper divisors (981913059).

1054134045 is a wasteful number, since it uses less digits than its factorization.

1054134045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1054134045 is about 32467.4305266062. The cubic root of 1054134045 is about 1017.7285237507.

Adding to 1054134045 its reverse (5404314501), we get a palindrome (6458448546).

The spelling of 1054134045 in words is "one billion, fifty-four million, one hundred thirty-four thousand, forty-five".

Divisors: 1 3 5 9 15 17 23 45 51 69 85 115 153 181 207 255 331 345 391 543 765 905 993 1035 1173 1629 1655 1955 2715 2979 3077 3519 4163 4965 5627 5865 7613 8145 9231 12489 14895 15385 16881 17595 20815 22839 27693 28135 37467 38065 46155 50643 59911 62445 68517 70771 84405 114195 129421 138465 179733 187335 212313 253215 299555 342585 353855 388263 539199 636939 647105 898665 1018487 1061565 1164789 1377953 1941315 2695995 3055461 3184695 4133859 5092435 5823945 6889765 9166383 12401577 15277305 20669295 23425201 45831915 62007885 70275603 117126005 210826809 351378015 1054134045