Search a number
-
+
1225296 = 243267127
BaseRepresentation
bin100101011001001010000
32022020210100
410223021100
5303202141
642132400
713262202
oct4531120
92266710
101225296
11767646
124b1100
1333b937
1423c772
151930b6
hex12b250

1225296 has 60 divisors (see below), whose sum is σ = 3507712. Its totient is φ = 399168.

The previous prime is 1225283. The next prime is 1225297. The reversal of 1225296 is 6925221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9585 + ... + 9711.

21225296 is an apocalyptic number.

1225296 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 1225296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753856).

1225296 is an abundant number, since it is smaller than the sum of its proper divisors (2282416).

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

1225296 is a wasteful number, since it uses less digits than its factorization.

1225296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1225296 is about 1106.9308921518. The cubic root of 1225296 is about 107.0073654929.

It can be divided in two parts, 1225 and 296, that added together give a square (1521 = 392).

The spelling of 1225296 in words is "one million, two hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 127 134 144 201 254 268 381 402 508 536 603 762 804 1016 1072 1143 1206 1524 1608 2032 2286 2412 3048 3216 4572 4824 6096 8509 9144 9648 17018 18288 25527 34036 51054 68072 76581 102108 136144 153162 204216 306324 408432 612648 1225296