Search a number
-
+
1057440 = 25352203
BaseRepresentation
bin100000010001010100000
31222201112110
410002022200
5232314230
634355320
711662626
oct4021240
91881473
101057440
1166251a
1242bb40
132b0407
141d7516
1515d4b0
hex1022a0

1057440 has 48 divisors (see below), whose sum is σ = 3332448. Its totient is φ = 281856.

The previous prime is 1057421. The next prime is 1057477. The reversal of 1057440 is 447501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10574402 = 2236358707200, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622 + ... + 1581.

It is an arithmetic number, because the mean of its divisors is an integer number (69426).

21057440 is an apocalyptic number.

1057440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057440 is an abundant number, since it is smaller than the sum of its proper divisors (2275008).

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

1057440 is a wasteful number, since it uses less digits than its factorization.

1057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1057440 is about 1028.3190166480. The cubic root of 1057440 is about 101.8791340363.

The spelling of 1057440 in words is "one million, fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2203 4406 6609 8812 11015 13218 17624 22030 26436 33045 35248 44060 52872 66090 70496 88120 105744 132180 176240 211488 264360 352480 528720 1057440