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1275040 = 25513613
BaseRepresentation
bin100110111010010100000
32101210000201
410313102200
5311300130
643154544
713560214
oct4672240
92353021
101275040
117a0a58
12515a54
13358480
14252944
151a2bca
hex1374a0

1275040 has 48 divisors (see below), whose sum is σ = 3249288. Its totient is φ = 470016.

The previous prime is 1275019. The next prime is 1275041. The reversal of 1275040 is 405721.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 929296 = 588^2 + 964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1274999 and 1275017.

It is not an unprimeable number, because it can be changed into a prime (1275041) 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, 1774 + ... + 2386.

21275040 is an apocalyptic number.

1275040 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 1275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624644).

1275040 is an abundant number, since it is smaller than the sum of its proper divisors (1974248).

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

1275040 is a wasteful number, since it uses less digits than its factorization.

1275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 1275040 is about 1129.1766912224. The cubic root of 1275040 is about 108.4362782129.

The spelling of 1275040 in words is "one million, two hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 613 1040 1226 2080 2452 3065 4904 6130 7969 9808 12260 15938 19616 24520 31876 39845 49040 63752 79690 98080 127504 159380 255008 318760 637520 1275040