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1028742 = 2311213109
BaseRepresentation
bin11111011001010000110
31221021011120
43323022012
5230404432
634014410
711513151
oct3731206
91837146
101028742
11642a00
12417406
132a0330
141cac98
15154c2c
hexfb286

1028742 has 48 divisors (see below), whose sum is σ = 2457840. Its totient is φ = 285120.

The previous prime is 1028737. The next prime is 1028747. The reversal of 1028742 is 2478201.

It is an interprime number because it is at equal distance from previous prime (1028737) and next prime (1028747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9384 + ... + 9492.

It is an arithmetic number, because the mean of its divisors is an integer number (51205).

21028742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228920).

1028742 is an abundant number, since it is smaller than the sum of its proper divisors (1429098).

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

1028742 is a wasteful number, since it uses less digits than its factorization.

1028742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1028742 is about 1014.2691950365. The cubic root of 1028742 is about 100.9490315657.

It can be divided in two parts, 1028 and 742, that added together give a triangular number (1770 = T59).

The spelling of 1028742 in words is "one million, twenty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 109 121 143 218 242 286 327 363 429 654 726 858 1199 1417 1573 2398 2834 3146 3597 4251 4719 7194 8502 9438 13189 15587 26378 31174 39567 46761 79134 93522 171457 342914 514371 1028742