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2129296 = 241329353
BaseRepresentation
bin1000000111110110010000
311000011211211
420013312100
51021114141
6113345504
724045601
oct10076620
94004754
102129296
111224854
12868294
13597250
143d5da8
152c0d81
hex207d90

2129296 has 40 divisors (see below), whose sum is σ = 4609080. Its totient is φ = 946176.

The previous prime is 2129293. The next prime is 2129321. The reversal of 2129296 is 6929212.

It can be written as a sum of positive squares in 4 ways, for example, as 55696 + 2073600 = 236^2 + 1440^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129291) 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, 5856 + ... + 6208.

It is an arithmetic number, because the mean of its divisors is an integer number (115227).

22129296 is an apocalyptic number.

2129296 is a gapful number since it is divisible by the number (26) 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 2129296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304540).

2129296 is an abundant number, since it is smaller than the sum of its proper divisors (2479784).

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

2129296 is a wasteful number, since it uses less digits than its factorization.

2129296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 2129296 is about 1459.2107455745. The cubic root of 2129296 is about 128.6506582796.

The spelling of 2129296 in words is "two million, one hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 353 377 464 706 754 1412 1508 2824 3016 4589 5648 6032 9178 10237 18356 20474 36712 40948 73424 81896 133081 163792 266162 532324 1064648 2129296