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1027919060 = 225721048897
BaseRepresentation
bin111101010001001…
…100110011010100
32122122012200212022
4331101030303110
54101121402220
6245555512312
734321111400
oct7521146324
92578180768
101027919060
11488262893
122482b8698
13134c63c3c
149a738100
1560398925
hex3d44ccd4

1027919060 has 36 divisors (see below), whose sum is σ = 2511061812. Its totient is φ = 352429056.

The previous prime is 1027919041. The next prime is 1027919119. The reversal of 1027919060 is 609197201.

1027919060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 709796164 + 318122896 = 26642^2 + 17836^2 .

It is a super-2 number, since 2×10279190602 = 2113235187822567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1027919060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523469 + ... + 525428.

It is an arithmetic number, because the mean of its divisors is an integer number (69751717).

Almost surely, 21027919060 is an apocalyptic number.

1027919060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027919060 is an abundant number, since it is smaller than the sum of its proper divisors (1483142752).

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

1027919060 is a wasteful number, since it uses less digits than its factorization.

1027919060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048920 (or 1048911 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 1027919060 is about 32061.1768342960. The cubic root of 1027919060 is about 1009.2210639631.

The spelling of 1027919060 in words is "one billion, twenty-seven million, nine hundred nineteen thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1048897 2097794 4195588 5244485 7342279 10488970 14684558 20977940 29369116 36711395 51395953 73422790 102791906 146845580 205583812 256979765 513959530 1027919060