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2131296 = 2531492
BaseRepresentation
bin1000001000010101100000
311000021120220
420020111200
51021200141
6113403040
724054456
oct10102540
94007526
102131296
111226302
12869480
1359812b
143d69d6
152c1766
hex208560

2131296 has 36 divisors (see below), whose sum is σ = 5632452. Its totient is φ = 705664.

The previous prime is 2131291. The next prime is 2131319. The reversal of 2131296 is 6921312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14230 + ... + 14378.

It is an arithmetic number, because the mean of its divisors is an integer number (156457).

22131296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816226).

2131296 is an abundant number, since it is smaller than the sum of its proper divisors (3501156).

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

2131296 is an equidigital number, since it uses as much as digits as its factorization.

2131296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 154 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 2131296 is about 1459.8958866988. The cubic root of 2131296 is about 128.6909252348.

Multiplying 2131296 by its sum of digits (24), we get a square (51151104 = 71522).

2131296 divided by its sum of digits (24) gives a square (88804 = 2982).

The spelling of 2131296 in words is "two million, one hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 7152 14304 22201 44402 66603 88804 133206 177608 266412 355216 532824 710432 1065648 2131296