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1275920 = 24541389
BaseRepresentation
bin100110111100000010000
32101211020022
410313200100
5311312140
643203012
713562612
oct4674020
92354208
101275920
117a1688
12516468
133589a9
14252db2
151a30b5
hex137810

1275920 has 40 divisors (see below), whose sum is σ = 3046680. Its totient is φ = 496640.

The previous prime is 1275899. The next prime is 1275931. The reversal of 1275920 is 295721.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 1263376 = 112^2 + 1124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1275920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3086 + ... + 3474.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

21275920 is an apocalyptic number.

1275920 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 1275920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340).

1275920 is an abundant number, since it is smaller than the sum of its proper divisors (1770760).

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

1275920 is a wasteful number, since it uses less digits than its factorization.

1275920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 1275920 is about 1129.5662884488. The cubic root of 1275920 is about 108.4612191247.

The spelling of 1275920 in words is "one million, two hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 389 410 656 778 820 1556 1640 1945 3112 3280 3890 6224 7780 15560 15949 31120 31898 63796 79745 127592 159490 255184 318980 637960 1275920