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1025280 = 2832589
BaseRepresentation
bin11111010010100000000
31221002102100
43322110000
5230302110
633550400
711500104
oct3722400
91832370
101025280
11640343
12415400
1329b899
141c9904
15153bc0
hexfa500

1025280 has 108 divisors (see below), whose sum is σ = 3587220. Its totient is φ = 270336.

The previous prime is 1025279. The next prime is 1025281. The reversal of 1025280 is 825201.

It is an interprime number because it is at equal distance from previous prime (1025279) and next prime (1025281).

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 746496 = 528^2 + 864^2 .

It is a super-3 number, since 3×10252803 = 3233320173305856000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025281) 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, 11476 + ... + 11564.

It is an arithmetic number, because the mean of its divisors is an integer number (33215).

21025280 is an apocalyptic number.

1025280 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 1025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793610).

1025280 is an abundant number, since it is smaller than the sum of its proper divisors (2561940).

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

1025280 is an equidigital number, since it uses as much as digits as its factorization.

1025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1025280 is about 1012.5611092670. The cubic root of 1025280 is about 100.8356638732.

The spelling of 1025280 in words is "one million, twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 89 90 96 120 128 144 160 178 180 192 240 256 267 288 320 356 360 384 445 480 534 576 640 712 720 768 801 890 960 1068 1152 1280 1335 1424 1440 1602 1780 1920 2136 2304 2670 2848 2880 3204 3560 3840 4005 4272 5340 5696 5760 6408 7120 8010 8544 10680 11392 11520 12816 14240 16020 17088 21360 22784 25632 28480 32040 34176 42720 51264 56960 64080 68352 85440 102528 113920 128160 170880 205056 256320 341760 512640 1025280