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1055580 = 223573241
BaseRepresentation
bin100000001101101011100
31222121222120
410001231130
5232234310
634342540
711654331
oct4015534
91877876
101055580
11661089
1242aa50
132ac606
141d6988
1515cb70
hex101b5c

1055580 has 48 divisors (see below), whose sum is σ = 3008544. Its totient is φ = 276480.

The previous prime is 1055567. The next prime is 1055591. The reversal of 1055580 is 855501.

It is a super-3 number, since 3×10555803 = 3528537310203336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1055580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4260 + ... + 4500.

It is an arithmetic number, because the mean of its divisors is an integer number (62678).

21055580 is an apocalyptic number.

1055580 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 1055580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504272).

1055580 is an abundant number, since it is smaller than the sum of its proper divisors (1952964).

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

1055580 is a wasteful number, since it uses less digits than its factorization.

1055580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 1055580 is about 1027.4142299968. The cubic root of 1055580 is about 101.8193650334.

The spelling of 1055580 in words is "one million, fifty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 241 292 365 438 482 723 730 876 964 1095 1205 1446 1460 2190 2410 2892 3615 4380 4820 7230 14460 17593 35186 52779 70372 87965 105558 175930 211116 263895 351860 527790 1055580