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1027026 = 2337111319
BaseRepresentation
bin11111010101111010010
31221011211000
43322233102
5230331101
634002430
711505150
oct3725722
91834730
101027026
11641690
12416416
1329c610
141ca3d0
15154486
hexfabd2

1027026 has 128 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 233280.

The previous prime is 1027003. The next prime is 1027027. The reversal of 1027026 is 6207201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54045 + ... + 54063.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

21027026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800).

1027026 is an abundant number, since it is smaller than the sum of its proper divisors (2198574).

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

1027026 is a wasteful number, since it uses less digits than its factorization.

1027026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1027026 is about 1013.4229127072. The cubic root of 1027026 is about 100.8928707577.

It can be divided in two parts, 10270 and 26, that added together give a triangular number (10296 = T143).

The spelling of 1027026 in words is "one million, twenty-seven thousand, twenty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 19 21 22 26 27 33 38 39 42 54 57 63 66 77 78 91 99 114 117 126 133 143 154 171 182 189 198 209 231 234 247 266 273 286 297 342 351 378 399 418 429 462 494 513 546 594 627 693 702 741 798 819 858 1001 1026 1197 1254 1287 1386 1463 1482 1638 1729 1881 2002 2079 2223 2394 2457 2574 2717 2926 3003 3458 3591 3762 3861 4158 4389 4446 4914 5187 5434 5643 6006 6669 7182 7722 8151 8778 9009 10374 11286 13167 13338 15561 16302 18018 19019 24453 26334 27027 31122 38038 39501 46683 48906 54054 57057 73359 79002 93366 114114 146718 171171 342342 513513 1027026