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1131696 = 243229271
BaseRepresentation
bin100010100010010110000
32010111101200
410110102300
5242203241
640131200
712422256
oct4242260
92114350
101131696
11703295
12466b00
13308157
142165d6
151754b6
hex1144b0

1131696 has 60 divisors (see below), whose sum is σ = 3288480. Its totient is φ = 362880.

The previous prime is 1131677. The next prime is 1131701. The reversal of 1131696 is 6961311.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4041 + ... + 4311.

It is an arithmetic number, because the mean of its divisors is an integer number (54808).

21131696 is an apocalyptic number.

1131696 is a gapful number since it is divisible by the number (16) 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 1131696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644240).

1131696 is an abundant number, since it is smaller than the sum of its proper divisors (2156784).

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

1131696 is a wasteful number, since it uses less digits than its factorization.

1131696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1131696 is about 1063.8120134685. The cubic root of 1131696 is about 104.2101274291.

The spelling of 1131696 in words is "one million, one hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 271 348 464 522 542 696 813 1044 1084 1392 1626 2088 2168 2439 3252 4176 4336 4878 6504 7859 9756 13008 15718 19512 23577 31436 39024 47154 62872 70731 94308 125744 141462 188616 282924 377232 565848 1131696