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1121296 = 241123277
BaseRepresentation
bin100010001110000010000
32002222010111
410101300100
5241340141
640011104
712350041
oct4216020
92088114
101121296
116a64a0
12460a94
133034b7
142128c8
15172381
hex111c10

1121296 has 40 divisors (see below), whose sum is σ = 2481984. Its totient is φ = 485760.

The previous prime is 1121293. The next prime is 1121297. The reversal of 1121296 is 6921211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3910 + ... + 4186.

21121296 is an apocalyptic number.

1121296 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 1121296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240992).

1121296 is an abundant number, since it is smaller than the sum of its proper divisors (1360688).

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

1121296 is a wasteful number, since it uses less digits than its factorization.

1121296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 216, while the sum is 22.

The square root of 1121296 is about 1058.9126498442. The cubic root of 1121296 is about 103.8899229797.

It can be divided in two parts, 11 and 21296, that multiplied together give a 4-th power (234256 = 224).

The spelling of 1121296 in words is "one million, one hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 277 368 506 554 1012 1108 2024 2216 3047 4048 4432 6094 6371 12188 12742 24376 25484 48752 50968 70081 101936 140162 280324 560648 1121296