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1131072 = 26343137
BaseRepresentation
bin100010100001001000000
32010110112120
410110021000
5242143242
640124240
712420405
oct4241100
92113476
101131072
11702878
12466680
13307a97
142162ac
151751ec
hex114240

1131072 has 56 divisors (see below), whose sum is σ = 3084576. Its totient is φ = 365568.

The previous prime is 1131049. The next prime is 1131077. The reversal of 1131072 is 2701311.

It is not an unprimeable number, because it can be changed into a prime (1131077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8188 + ... + 8324.

21131072 is an apocalyptic number.

1131072 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 1131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542288).

1131072 is an abundant number, since it is smaller than the sum of its proper divisors (1953504).

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

1131072 is a wasteful number, since it uses less digits than its factorization.

1131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1131072 is about 1063.5186881292. The cubic root of 1131072 is about 104.1909706135.

Adding to 1131072 its reverse (2701311), we get a palindrome (3832383).

The spelling of 1131072 in words is "one million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 137 172 192 258 274 344 411 516 548 688 822 1032 1096 1376 1644 2064 2192 2752 3288 4128 4384 5891 6576 8256 8768 11782 13152 17673 23564 26304 35346 47128 70692 94256 141384 188512 282768 377024 565536 1131072