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1295328 = 253103131
BaseRepresentation
bin100111100001111100000
32102210212010
410330033200
5312422303
643432520
714003316
oct4741740
92383763
101295328
11805221
12525740
13364788
1425a0b6
151a8c03
hex13c3e0

1295328 has 48 divisors (see below), whose sum is σ = 3459456. Its totient is φ = 424320.

The previous prime is 1295323. The next prime is 1295339. The reversal of 1295328 is 8235921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1295295 and 1295304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295321) 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, 9823 + ... + 9953.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

21295328 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 1295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728).

1295328 is an abundant number, since it is smaller than the sum of its proper divisors (2164128).

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

1295328 is a wasteful number, since it uses less digits than its factorization.

1295328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1295328 is about 1138.1247734761. The cubic root of 1295328 is about 109.0083880984.

The spelling of 1295328 in words is "one million, two hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 131 206 262 309 393 412 524 618 786 824 1048 1236 1572 1648 2096 2472 3144 3296 4192 4944 6288 9888 12576 13493 26986 40479 53972 80958 107944 161916 215888 323832 431776 647664 1295328