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1255040 = 2753753
BaseRepresentation
bin100110010011010000000
32100202120222
410302122000
5310130130
642522212
713445003
oct4623200
92322528
101255040
11787a26
12506368
1334c337
1424953a
1519bce5
hex132680

1255040 has 64 divisors (see below), whose sum is σ = 3139560. Its totient is φ = 479232.

The previous prime is 1255039. The next prime is 1255049. The reversal of 1255040 is 405521.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 18496 = 1112^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23654 + ... + 23706.

21255040 is an apocalyptic number.

1255040 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 1255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569780).

1255040 is an abundant number, since it is smaller than the sum of its proper divisors (1884520).

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

1255040 is an equidigital number, since it uses as much as digits as its factorization.

1255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 1255040 is about 1120.2856778519. The cubic root of 1255040 is about 107.8663183658.

The spelling of 1255040 in words is "one million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 53 64 74 80 106 128 148 160 185 212 265 296 320 370 424 530 592 640 740 848 1060 1184 1480 1696 1961 2120 2368 2960 3392 3922 4240 4736 5920 6784 7844 8480 9805 11840 15688 16960 19610 23680 31376 33920 39220 62752 78440 125504 156880 251008 313760 627520 1255040