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1280928 = 253111213
BaseRepresentation
bin100111000101110100000
32102002002210
410320232200
5311442203
643242120
713613325
oct4705640
92362083
101280928
117a5420
12519340
1335b05c
14254b4c
151a4803
hex138ba0

1280928 has 48 divisors (see below), whose sum is σ = 3671136. Its totient is φ = 387840.

The previous prime is 1280921. The next prime is 1280947. The reversal of 1280928 is 8290821.

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 = 1280895 and 1280904.

It is not an unprimeable number, because it can be changed into a prime (1280921) 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, 450 + ... + 1662.

It is an arithmetic number, because the mean of its divisors is an integer number (76482).

21280928 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 1280928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835568).

1280928 is an abundant number, since it is smaller than the sum of its proper divisors (2390208).

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

1280928 is a wasteful number, since it uses less digits than its factorization.

1280928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1280928 is about 1131.7808975239. The cubic root of 1280928 is about 108.6029376955.

The spelling of 1280928 in words is "one million, two hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1213 2426 3639 4852 7278 9704 13343 14556 19408 26686 29112 38816 40029 53372 58224 80058 106744 116448 160116 213488 320232 426976 640464 1280928