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1067800038 = 231967139801
BaseRepresentation
bin111111101001010…
…101010111100110
32202102020212021120
4333221111113212
54141324100123
6253542354410
735314102434
oct7751252746
92672225246
101067800038
114a8821a78
1225972ba06
131402b8556
14a1b59d54
1563b252e3
hex3fa555e6

1067800038 has 32 divisors (see below), whose sum is σ = 2281568640. Its totient is φ = 332164800.

The previous prime is 1067800033. The next prime is 1067800049. The reversal of 1067800038 is 8300087601.

It is a super-3 number, since 3×10678000383 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1067799981 and 1067800008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067800033) 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 15 ways as a sum of consecutive naturals, for example, 62263 + ... + 77538.

It is an arithmetic number, because the mean of its divisors is an integer number (71299020).

Almost surely, 21067800038 is an apocalyptic number.

1067800038 is an abundant number, since it is smaller than the sum of its proper divisors (1213768602).

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

1067800038 is a wasteful number, since it uses less digits than its factorization.

1067800038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139892.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1067800038 is about 32677.2097646051. The cubic root of 1067800038 is about 1022.1076622397.

Adding to 1067800038 its reverse (8300087601), we get a palindrome (9367887639).

The spelling of 1067800038 in words is "one billion, sixty-seven million, eight hundred thousand, thirty-eight".

Divisors: 1 2 3 6 19 38 57 67 114 134 201 402 1273 2546 3819 7638 139801 279602 419403 838806 2656219 5312438 7968657 9366667 15937314 18733334 28100001 56200002 177966673 355933346 533900019 1067800038