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1260480 = 263513101
BaseRepresentation
bin100110011101111000000
32101001001110
410303233000
5310313410
643003320
713466604
oct4635700
92331043
101260480
11791021
12509540
13351960
1424b504
1519d720
hex133bc0

1260480 has 112 divisors (see below), whose sum is σ = 4352544. Its totient is φ = 307200.

The previous prime is 1260473. The next prime is 1260481. The reversal of 1260480 is 840621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12430 + ... + 12530.

It is an arithmetic number, because the mean of its divisors is an integer number (38862).

21260480 is an apocalyptic number.

1260480 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 1260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176272).

1260480 is an abundant number, since it is smaller than the sum of its proper divisors (3092064).

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

1260480 is a wasteful number, since it uses less digits than its factorization.

1260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1260480 is about 1122.7110046668. The cubic root of 1260480 is about 108.0219434150.

The spelling of 1260480 in words is "one million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 101 104 120 130 156 160 192 195 202 208 240 260 303 312 320 390 404 416 480 505 520 606 624 780 808 832 960 1010 1040 1212 1248 1313 1515 1560 1616 2020 2080 2424 2496 2626 3030 3120 3232 3939 4040 4160 4848 5252 6060 6240 6464 6565 7878 8080 9696 10504 12120 12480 13130 15756 16160 19392 19695 21008 24240 26260 31512 32320 39390 42016 48480 52520 63024 78780 84032 96960 105040 126048 157560 210080 252096 315120 420160 630240 1260480