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1260064 = 25132233
BaseRepresentation
bin100110011101000100000
32101000111001
410303220200
5310310224
643001344
713465441
oct4635040
92330431
101260064
11790783
12509254
13351700
1424b2c8
1519d544
hex133a20

1260064 has 36 divisors (see below), whose sum is σ = 2697786. Its totient is φ = 579072.

The previous prime is 1260059. The next prime is 1260067. The reversal of 1260064 is 4600621.

It can be written as a sum of positive squares in 3 ways, for example, as 435600 + 824464 = 660^2 + 908^2 .

It is a super-2 number, since 2×12600642 = 3175522568192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1260067) 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, 5292 + ... + 5524.

21260064 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 1260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348893).

1260064 is an abundant number, since it is smaller than the sum of its proper divisors (1437722).

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

1260064 is a wasteful number, since it uses less digits than its factorization.

1260064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1260064 is about 1122.5257235360. The cubic root of 1260064 is about 108.0100585053.

Adding to 1260064 its reverse (4600621), we get a palindrome (5860685).

The spelling of 1260064 in words is "one million, two hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 233 338 416 466 676 932 1352 1864 2704 3029 3728 5408 6058 7456 12116 24232 39377 48464 78754 96928 157508 315016 630032 1260064