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1057455 = 3457373
BaseRepresentation
bin100000010001010101111
31222201120000
410002022233
5232314310
634355343
711662650
oct4021257
91881500
101057455
11662533
1242bb53
132b0419
141d7527
1515d4c0
hex1022af

1057455 has 40 divisors (see below), whose sum is σ = 2172192. Its totient is φ = 482112.

The previous prime is 1057421. The next prime is 1057477. The reversal of 1057455 is 5547501.

1057455 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 1057455 - 26 = 1057391 is a prime.

It is a super-2 number, since 2×10574552 = 2236422154050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

1057455 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2649 + ... + 3021.

21057455 is an apocalyptic number.

1057455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1057455 is an abundant number, since it is smaller than the sum of its proper divisors (1114737).

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

1057455 is an equidigital number, since it uses as much as digits as its factorization.

1057455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 1057455 is about 1028.3263100787. The cubic root of 1057455 is about 101.8796157594.

The spelling of 1057455 in words is "one million, fifty-seven thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 373 405 567 945 1119 1865 2611 2835 3357 5595 7833 10071 13055 16785 23499 30213 39165 50355 70497 117495 151065 211491 352485 1057455