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1042640 = 24513033
BaseRepresentation
bin11111110100011010000
31221222020022
43332203100
5231331030
634203012
711601524
oct3764320
91858208
101042640
11652395
12423468
132a6761
141d1d84
15158de5
hexfe8d0

1042640 has 20 divisors (see below), whose sum is σ = 2424324. Its totient is φ = 417024.

The previous prime is 1042633. The next prime is 1042681. The reversal of 1042640 is 462401.

It can be written as a sum of positive squares in 2 ways, for example, as 512656 + 529984 = 716^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6437 + ... + 6596.

21042640 is an apocalyptic number.

1042640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042640 is an abundant number, since it is smaller than the sum of its proper divisors (1381684).

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

1042640 is a wasteful number, since it uses less digits than its factorization.

1042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1042640 is about 1021.0974488265. The cubic root of 1042640 is about 101.4015968170.

It can be divided in two parts, 104 and 2640, that added together give a cube (2744 = 143).

The spelling of 1042640 in words is "one million, forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13033 26066 52132 65165 104264 130330 208528 260660 521320 1042640