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1026312 = 233741149
BaseRepresentation
bin11111010100100001000
31221010211120
43322210020
5230320222
633555240
711503110
oct3724410
91833746
101026312
116410a1
12415b20
1329c1b1
141ca040
1515415c
hexfa908

1026312 has 64 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 284160.

The previous prime is 1026299. The next prime is 1026313. The reversal of 1026312 is 2136201.

It is a junction number, because it is equal to n+sod(n) for n = 1026291 and 1026300.

It is not an unprimeable number, because it can be changed into a prime (1026313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6814 + ... + 6962.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

21026312 is an apocalyptic number.

1026312 is a gapful number since it is divisible by the number (12) 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 1026312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1026312 is an abundant number, since it is smaller than the sum of its proper divisors (1997688).

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

1026312 is a wasteful number, since it uses less digits than its factorization.

1026312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1026312 is about 1013.0705799696. The cubic root of 1026312 is about 100.8694847188.

The spelling of 1026312 in words is "one million, twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 149 164 168 246 287 298 328 447 492 574 596 861 894 984 1043 1148 1192 1722 1788 2086 2296 3129 3444 3576 4172 6109 6258 6888 8344 12218 12516 18327 24436 25032 36654 42763 48872 73308 85526 128289 146616 171052 256578 342104 513156 1026312