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1064269000 = 23531064269
BaseRepresentation
bin111111011011110…
…111010011001000
32202011121110121101
4333123313103020
54134423102000
6253334551144
735242065034
oct7733672310
92664543541
101064269000
114a6830063
122585084b4
1313c650292
14a14bb1c4
1563678e6a
hex3f6f74c8

1064269000 has 32 divisors (see below), whose sum is σ = 2490391800. Its totient is φ = 425707200.

The previous prime is 1064268979. The next prime is 1064269001. The reversal of 1064269000 is 9624601.

It can be written as a sum of positive squares in 4 ways, for example, as 337750884 + 726518116 = 18378^2 + 26954^2 .

It is a super-3 number, since 3×10642690003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1064269000.

It is not an unprimeable number, because it can be changed into a prime (1064269001) 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 7 ways as a sum of consecutive naturals, for example, 531135 + ... + 533134.

Almost surely, 21064269000 is an apocalyptic number.

1064269000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064269000 is an abundant number, since it is smaller than the sum of its proper divisors (1426122800).

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

1064269000 is a wasteful number, since it uses less digits than its factorization.

1064269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064290 (or 1064276 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1064269000 is about 32623.1359620745. The cubic root of 1064269000 is about 1020.9797711163.

The spelling of 1064269000 in words is "one billion, sixty-four million, two hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1064269 2128538 4257076 5321345 8514152 10642690 21285380 26606725 42570760 53213450 106426900 133033625 212853800 266067250 532134500 1064269000