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1485460 = 225172257
BaseRepresentation
bin101101010101010010100
32210110200001
411222222110
5340013320
651501044
715424534
oct5525224
92713601
101485460
11925059
125b7784
13400192
142a94c4
151e520a
hex16aa94

1485460 has 36 divisors (see below), whose sum is σ = 3326652. Its totient is φ = 557056.

The previous prime is 1485433. The next prime is 1485461. The reversal of 1485460 is 645841.

It can be written as a sum of positive squares in 6 ways, for example, as 412164 + 1073296 = 642^2 + 1036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485461) 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, 5652 + ... + 5908.

It is an arithmetic number, because the mean of its divisors is an integer number (92407).

21485460 is an apocalyptic number.

1485460 is a gapful number since it is divisible by the number (10) 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 1485460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663326).

1485460 is an abundant number, since it is smaller than the sum of its proper divisors (1841192).

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

1485460 is a wasteful number, since it uses less digits than its factorization.

1485460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1485460 is about 1218.7944863676. The cubic root of 1485460 is about 114.1003527961.

The spelling of 1485460 in words is "one million, four hundred eighty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 257 289 340 514 578 1028 1156 1285 1445 2570 2890 4369 5140 5780 8738 17476 21845 43690 74273 87380 148546 297092 371365 742730 1485460