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1027439028 = 22327112912781
BaseRepresentation
bin111101001111010…
…111100110110100
32122121022022101100
4331033113212310
54101011022103
6245541330100
734314042030
oct7517274664
92577268340
101027439028
11487a65170
12248106930
13134b265b5
149a6511c0
15603015a3
hex3d3d79b4

1027439028 has 144 divisors (see below), whose sum is σ = 3349906560. Its totient is φ = 257644800.

The previous prime is 1027439027. The next prime is 1027439071. The reversal of 1027439028 is 8209347201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1027438983 and 1027439001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027439027) 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 47 ways as a sum of consecutive naturals, for example, 73998 + ... + 86778.

It is an arithmetic number, because the mean of its divisors is an integer number (23263240).

Almost surely, 21027439028 is an apocalyptic number.

1027439028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027439028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674953280).

1027439028 is an abundant number, since it is smaller than the sum of its proper divisors (2322467532).

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

1027439028 is a wasteful number, since it uses less digits than its factorization.

1027439028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1027439028 is about 32053.6897720060. The cubic root of 1027439028 is about 1009.0639394523.

The spelling of 1027439028 in words is "one billion, twenty-seven million, four hundred thirty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 126 132 154 174 198 203 231 252 261 308 319 348 396 406 462 522 609 638 693 812 924 957 1044 1218 1276 1386 1827 1914 2233 2436 2772 2871 3654 3828 4466 5742 6699 7308 8932 11484 12781 13398 20097 25562 26796 38343 40194 51124 76686 80388 89467 115029 140591 153372 178934 230058 268401 281182 357868 370649 421773 460116 536802 562364 741298 805203 843546 984137 1073604 1111947 1265319 1482596 1610406 1687092 1968274 2223894 2530638 2594543 2952411 3220812 3335841 3936548 4077139 4447788 5061276 5189086 5904822 6671682 7783629 8154278 8857233 10378172 11809644 12231417 13343364 15567258 16308556 17714466 23350887 24462834 28539973 31134516 35428932 36694251 46701774 48925668 57079946 73388502 85619919 93403548 114159892 146777004 171239838 256859757 342479676 513719514 1027439028