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1132096 = 2672192
BaseRepresentation
bin100010100011001000000
32010111221111
410110121000
5242211341
640133104
712423400
oct4243100
92114844
101132096
11703619
12467194
133083a4
14216800
15175681
hex114640

1132096 has 63 divisors (see below), whose sum is σ = 2758059. Its totient is φ = 459648.

The previous prime is 1132091. The next prime is 1132123. The reversal of 1132096 is 6902311.

Multipling 1132096 by its product of nonzero digits (324), we get a square (366799104 = 191522).

It can be divided in two parts, 113 and 2096, that added together give a square (2209 = 472).

The square root of 1132096 is 1064.

It is a perfect power (a square), and thus also a powerful number.

1132096 is nontrivially palindromic in base 6.

It is not an unprimeable number, because it can be changed into a prime (1132091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59575 + ... + 59593.

21132096 is an apocalyptic number.

1132096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1132096 is the 1064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132096

1132096 is an abundant number, since it is smaller than the sum of its proper divisors (1625963).

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

1132096 is an equidigital number, since it uses as much as digits as its factorization.

1132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The cubic root of 1132096 is about 104.2224037356. Note that the first 3 decimals are identical.

The spelling of 1132096 in words is "one million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 361 392 448 532 608 722 784 931 1064 1216 1444 1568 1862 2128 2527 2888 3136 3724 4256 5054 5776 7448 8512 10108 11552 14896 17689 20216 23104 29792 35378 40432 59584 70756 80864 141512 161728 283024 566048 1132096