Search a number
-
+
1055268378 = 233118116547
BaseRepresentation
bin111110111001100…
…001111000011010
32201112200012002000
4332321201320122
54130122042003
6252414021430
735102430123
oct7671417032
92645605060
101055268378
114a174282a
122554a7876
1313a81b578
14a021704a
156299c1a3
hex3ee61e1a

1055268378 has 32 divisors (see below), whose sum is σ = 2347168320. Its totient is φ = 351437040.

The previous prime is 1055268377. The next prime is 1055268407. The reversal of 1055268378 is 8738625501.

1055268378 is a `hidden beast` number, since 1 + 0 + 552 + 68 + 37 + 8 = 666.

It is a super-2 number, since 2×10552683782 = 2227182699213501768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1055268377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55501 + ... + 72047.

It is an arithmetic number, because the mean of its divisors is an integer number (73349010).

Almost surely, 21055268378 is an apocalyptic number.

1055268378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1055268378 is an abundant number, since it is smaller than the sum of its proper divisors (1291899942).

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

1055268378 is a wasteful number, since it uses less digits than its factorization.

1055268378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17739 (or 17733 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1055268378 is about 32484.8946127273. The cubic root of 1055268378 is about 1018.0934454641.

The spelling of 1055268378 in words is "one billion, fifty-five million, two hundred sixty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 1181 2362 3543 7086 10629 16547 21258 31887 33094 49641 63774 99282 148923 297846 446769 893538 19542007 39084014 58626021 117252042 175878063 351756126 527634189 1055268378