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1072078105 = 57215128979
BaseRepresentation
bin111111111001101…
…001110100011001
32202201022012200111
4333321221310121
54143422444410
6254214204321
735365341100
oct7771516431
92681265614
101072078105
1150018416a
1225b0536a1
13141155857
14a2551037
15641bcb8a
hex3fe69d19

1072078105 has 24 divisors (see below), whose sum is σ = 1506496320. Its totient is φ = 730245600.

The previous prime is 1072078103. The next prime is 1072078159. The reversal of 1072078105 is 5018702701.

It is a happy number.

It is not a de Polignac number, because 1072078105 - 21 = 1072078103 is a prime.

It is a super-2 number, since 2×10720781052 = 2298702926440782050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072078103) 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 23 ways as a sum of consecutive naturals, for example, 22506 + ... + 51484.

It is an arithmetic number, because the mean of its divisors is an integer number (62770680).

Almost surely, 21072078105 is an apocalyptic number.

It is an amenable number.

1072078105 is a deficient number, since it is larger than the sum of its proper divisors (434418215).

1072078105 is a wasteful number, since it uses less digits than its factorization.

1072078105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29149 (or 29142 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 1072078105 is about 32742.6038213212. The cubic root of 1072078105 is about 1023.4708445776.

The spelling of 1072078105 in words is "one billion, seventy-two million, seventy-eight thousand, one hundred five".

Divisors: 1 5 7 35 49 151 245 755 1057 5285 7399 28979 36995 144895 202853 1014265 1419971 4375829 7099855 21879145 30630803 153154015 214415621 1072078105