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1028790 = 232572371
BaseRepresentation
bin11111011001010110110
31221021020100
43323022312
5230410130
634014530
711513250
oct3731266
91837210
101028790
11642a44
12417446
132a0369
141cacd0
15154c60
hexfb2b6

1028790 has 96 divisors (see below), whose sum is σ = 3234816. Its totient is φ = 221760.

The previous prime is 1028777. The next prime is 1028803. The reversal of 1028790 is 978201.

1028790 is a nontrivial binomial coefficient, being equal to C(72, 4).

It is an interprime number because it is at equal distance from previous prime (1028777) and next prime (1028803).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14455 + ... + 14525.

It is an arithmetic number, because the mean of its divisors is an integer number (33696).

21028790 is an apocalyptic number.

1028790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617408).

1028790 is an abundant number, since it is smaller than the sum of its proper divisors (2206026).

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

1028790 is a wasteful number, since it uses less digits than its factorization.

1028790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1028790 is about 1014.2928571177. The cubic root of 1028790 is about 100.9506015992.

The spelling of 1028790 in words is "one million, twenty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 71 90 105 115 126 138 142 161 207 210 213 230 315 322 345 355 414 426 483 497 630 639 690 710 805 966 994 1035 1065 1278 1449 1491 1610 1633 2070 2130 2415 2485 2898 2982 3195 3266 4473 4830 4899 4970 6390 7245 7455 8165 8946 9798 11431 14490 14697 14910 16330 22365 22862 24495 29394 34293 44730 48990 57155 68586 73485 102879 114310 146970 171465 205758 342930 514395 1028790